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120220011120 = 243511172678699
BaseRepresentation
bin110111111110110101…
…0111100101001110000
3102111022100011100000110
41233331222330221300
53432202310323440
6131121152021320
711454110143146
oct1577552745160
9374270140013
10120220011120
1146a920757a0
121b371531840
13b44b959b71
145b66657596
1531d9464080
hex1bfdabca70

120220011120 has 160 divisors (see below), whose sum is σ = 430477804800. Its totient is φ = 27429867520.

The previous prime is 120220011097. The next prime is 120220011139. The reversal of 120220011120 is 21110022021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120220011096 and 120220011105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294470 + ... + 1384229.

It is an arithmetic number, because the mean of its divisors is an integer number (2690486280).

Almost surely, 2120220011120 is an apocalyptic number.

120220011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120220011120 is an abundant number, since it is smaller than the sum of its proper divisors (310257793680).

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

120220011120 is a wasteful number, since it uses less digits than its factorization.

120220011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678743 (or 2678737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120220011120 its reverse (21110022021), we get a palindrome (141330033141).

The spelling of 120220011120 in words is "one hundred twenty billion, two hundred twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 22440 44880 2678699 5357398 8036097 10714796 13393495 16072194 21429592 26786990 29465689 32144388 40180485 42859184 45537883 53573980 58931378 64288776 80360970 88397067 91075766 107147960 117862756 128577552 136613649 147328445 160721940 176794134 182151532 214295920 227689415 235725512 273227298 294656890 321443880 353588268 364303064 441985335 455378830 471451024 500916713 546454596 589313780 642887760 683068245 707176536 728606128 883970670 910757660 1001833426 1092909192 1178627560 1366136490 1414353072 1502750139 1767941340 1821515320 2003666852 2185818384 2357255120 2504583565 2732272980 3005500278 3535882680 3643030640 4007333704 5009167130 5464545960 6011000556 7071765360 7513750695 8014667408 10018334260 10929091920 12022001112 15027501390 20036668520 24044002224 30055002780 40073337040 60110005560 120220011120