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12101985252 = 2233741390437
BaseRepresentation
bin10110100010101010…
…11010001111100100
31011020102000112211000
423101111122033210
5144241102012002
65320511313300
7605620114560
oct132125321744
934212015730
1012101985252
115150289705
122418b1b830
1311ab321b26
1482b3a86a0
154ac6b861c
hex2d155a3e4

12101985252 has 96 divisors (see below), whose sum is σ = 36732407040. Its totient is φ = 3373367040.

The previous prime is 12101985199. The next prime is 12101985289. The reversal of 12101985252 is 25258910121.

12101985252 is a `hidden beast` number, since 1 + 210 + 198 + 5 + 252 = 666.

12101985252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 164223 + ... + 226214.

It is an arithmetic number, because the mean of its divisors is an integer number (382629240).

Almost surely, 212101985252 is an apocalyptic number.

12101985252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101985252 is an abundant number, since it is smaller than the sum of its proper divisors (24630421788).

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

12101985252 is a wasteful number, since it uses less digits than its factorization.

12101985252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390498 (or 390490 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 12101985252 in words is "twelve billion, one hundred one million, nine hundred eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 4428 5166 7749 10332 15498 30996 390437 780874 1171311 1561748 2342622 2733059 3513933 4685244 5466118 7027866 8199177 10541799 10932236 14055732 16007917 16398354 21083598 24597531 32015834 32796708 42167196 48023751 49195062 64031668 73792593 96047502 98390124 112055419 144071253 147585186 192095004 224110838 288142506 295170372 336166257 432213759 448221676 576285012 672332514 864427518 1008498771 1344665028 1728855036 2016997542 3025496313 4033995084 6050992626 12101985252