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12011100123132 = 22331123439580593
BaseRepresentation
bin1010111011001000110101…
…0110110010111111111100
31120112020202012220210011000
42232302031112302333330
53033242213112420012
641313453452130300
72346526154342355
oct256621526627774
946466665823130
1012011100123132
113910973988690
12141b9b9166990
136918462a1a96
142d74a9cb2d2c
1515c68268addc
hexaec8d5b2ffc

12011100123132 has 96 divisors (see below), whose sum is σ = 35447779100160. Its totient is φ = 3481478288640.

The previous prime is 12011100123131. The next prime is 12011100123133. The reversal of 12011100123132 is 23132100111021.

It is an interprime number because it is at equal distance from previous prime (12011100123131) and next prime (12011100123133).

It is a super-2 number, since 2×120111001231322 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011100123131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219762973 + ... + 219817620.

It is an arithmetic number, because the mean of its divisors is an integer number (369247698960).

Almost surely, 212011100123132 is an apocalyptic number.

12011100123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011100123132 is an abundant number, since it is smaller than the sum of its proper divisors (23436678977028).

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

12011100123132 is a wasteful number, since it uses less digits than its factorization.

12011100123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439580640 (or 439580632 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011100123132 its reverse (23132100111021), we get a palindrome (35143200234153).

The spelling of 12011100123132 in words is "twelve trillion, eleven billion, one hundred million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 6831 9108 13662 27324 439580593 879161186 1318741779 1758322372 2637483558 3956225337 4835386523 5274967116 7912450674 9670773046 10110353639 11868676011 14506159569 15824901348 19341546092 20220707278 23737352022 29012319138 30331060917 40441414556 43518478707 47474704044 58024638276 60662121834 87036957414 90993182751 111213890029 121324243668 130555436121 174073914828 181986365502 222427780058 261110872242 272979548253 333641670087 363972731004 444855560116 522221744484 545959096506 667283340174 1000925010261 1091918193012 1334566680348 2001850020522 3002775030783 4003700041044 6005550061566 12011100123132