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120001110001020 = 223252931741571561
BaseRepresentation
bin11011010010001111101111…
…100010001100010101111100
3120201212222211200102221002100
4123102033233202030111330
5111212044233130013040
61103115425432025100
734163536242062553
oct3322175742142574
9521788750387070
10120001110001020
113526620419a426
1211561028b32190
1351c609639c801
14218c128652d9a
15dd1786d14b30
hex6d23ef88c57c

120001110001020 has 144 divisors (see below), whose sum is σ = 388702149937920. Its totient is φ = 29900165299200.

The previous prime is 120001110001009. The next prime is 120001110001021. The reversal of 120001110001020 is 20100011100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120001110000993 and 120001110001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001110001021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370623961 + ... + 370947600.

It is an arithmetic number, because the mean of its divisors is an integer number (2699320485680).

Almost surely, 2120001110001020 is an apocalyptic number.

120001110001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001110001020 is an abundant number, since it is smaller than the sum of its proper divisors (268701039936900).

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

120001110001020 is a wasteful number, since it uses less digits than its factorization.

120001110001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741571636 (or 741571631 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120001110001020 its reverse (20100011100021), we get a palindrome (140101121101041).

The spelling of 120001110001020 in words is "one hundred twenty trillion, one billion, one hundred ten million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 45 58 60 62 87 90 93 116 124 145 155 174 180 186 261 279 290 310 348 372 435 465 522 558 580 620 870 899 930 1044 1116 1305 1395 1740 1798 1860 2610 2697 2790 3596 4495 5220 5394 5580 8091 8990 10788 13485 16182 17980 26970 32364 40455 53940 80910 161820 741571561 1483143122 2224714683 2966286244 3707857805 4449429366 6674144049 7415715610 8898858732 11123573415 13348288098 14831431220 21505575269 22247146830 22988718391 26696576196 33370720245 43011150538 44494293660 45977436782 64516725807 66741440490 68966155173 86022301076 91954873564 107527876345 114943591955 129033451614 133482880980 137932310346 193550177421 206898465519 215055752690 229887183910 258066903228 275864620692 322583629035 344830775865 387100354842 413796931038 430111505380 459774367820 645167258070 666672833339 689661551730 774200709684 827593862076 967750887105 1034492327595 1290334516140 1333345666678 1379323103460 1935501774210 2000018500017 2068984655190 2666691333356 3333364166695 3871003548420 4000037000034 4137969310380 6000055500051 6666728333390 8000074000068 10000092500085 12000111000102 13333456666780 20000185000170 24000222000204 30000277500255 40000370000340 60000555000510 120001110001020