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12130201013220 = 22325472311620437
BaseRepresentation
bin1011000010000100100001…
…0100101000101111100100
31120221122011120020212201100
42300201020110220233210
53042220122424410340
641444312025400100
72361243455244153
oct260411024505744
946848146225640
1012130201013220
113957431269164
12143aab7939030
1369cb47114944
142dd167a5159a
1516080373d830
hexb0848528be4

12130201013220 has 144 divisors (see below), whose sum is σ = 37594135208448. Its totient is φ = 3164521409280.

The previous prime is 12130201013209. The next prime is 12130201013233. The reversal of 12130201013220 is 2231010203121.

12130201013220 is a `hidden beast` number, since 12 + 130 + 201 + 0 + 1 + 322 + 0 = 666.

It is a super-2 number, since 2×121302010132202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12130201013193 and 12130201013202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19240842 + ... + 19861278.

It is an arithmetic number, because the mean of its divisors is an integer number (261070383392).

Almost surely, 212130201013220 is an apocalyptic number.

12130201013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130201013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797067604224).

12130201013220 is an abundant number, since it is smaller than the sum of its proper divisors (25463934195228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12130201013220 is a wasteful number, since it uses less digits than its factorization.

12130201013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622810 (or 622805 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12130201013220 its reverse (2231010203121), we get a palindrome (14361211216341).

The spelling of 12130201013220 in words is "twelve trillion, one hundred thirty billion, two hundred one million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2311 2820 4230 4622 6933 8460 9244 11555 13866 20799 23110 27732 34665 41598 46220 69330 83196 103995 108617 138660 207990 217234 325851 415980 434468 543085 620437 651702 977553 1086170 1240874 1303404 1629255 1861311 1955106 2172340 2481748 3102185 3258510 3722622 3910212 4887765 5583933 6204370 6517020 7445244 9306555 9775530 11167866 12408740 18613110 19551060 22335732 27919665 29160539 37226220 55839330 58321078 87481617 111678660 116642156 145802695 174963234 262444851 291605390 349926468 437408085 524889702 583210780 874816170 1049779404 1312224255 1433829907 1749632340 2624448510 2867659814 4301489721 5248897020 5735319628 7169149535 8602979442 12904469163 14338299070 17205958884 21507448605 25808938326 28676598140 43014897210 51617876652 64522345815 67390005629 86029794420 129044691630 134780011258 202170016887 258089383260 269560022516 336950028145 404340033774 606510050661 673900056290 808680067548 1010850084435 1213020101322 1347800112580 2021700168870 2426040202644 3032550253305 4043400337740 6065100506610 12130201013220