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120021002112 = 27311191495477
BaseRepresentation
bin110111111000111001…
…1110010011110000000
3102110210110200121222110
41233301303302132000
53431300334031422
6131045322335320
711446142454024
oct1576163623600
9373713617873
10120021002112
114699a7aa340
121b31695a540
13b41965b95b
145b48052384
1531c6c5360c
hex1bf1cf2780

120021002112 has 128 divisors (see below), whose sum is σ = 366093014400. Its totient is φ = 34455767040.

The previous prime is 120021002039. The next prime is 120021002119. The reversal of 120021002112 is 211200120021.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021002119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667483 + ... + 827994.

It is an arithmetic number, because the mean of its divisors is an integer number (2860101675).

Almost surely, 2120021002112 is an apocalyptic number.

120021002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120021002112 is an abundant number, since it is smaller than the sum of its proper divisors (246072012288).

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

120021002112 is a wasteful number, since it uses less digits than its factorization.

120021002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495524 (or 1495512 counting only the distinct ones).

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

Adding to 120021002112 its reverse (211200120021), we get a palindrome (331221122133).

The spelling of 120021002112 in words is "one hundred twenty billion, twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 3344 3648 4224 5016 6688 7296 10032 13376 20064 26752 40128 80256 1495477 2990954 4486431 5981908 8972862 11963816 16450247 17945724 23927632 28414063 32900494 35891448 47855264 49350741 56828126 65800988 71782896 85242189 95710528 98701482 113656252 131601976 143565792 170484378 191421056 197402964 227312504 263203952 287131584 312554693 340968756 394805928 454625008 526407904 574263168 625109386 681937512 789611856 909250016 937664079 1052815808 1250218772 1363875024 1579223712 1818500032 1875328158 2105631616 2500437544 2727750048 3158447424 3637000064 3750656316 5000875088 5455500096 6316894848 7501312632 10001750176 10911000192 15002625264 20003500352 30005250528 40007000704 60010501056 120021002112