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12999792960000 = 29325471131261
BaseRepresentation
bin1011110100101100000000…
…0010101010001000000000
31201000202201220220210210100
42331023000002222020000
53200442033444210000
643352004503002400
72511126662653260
oct275130002521000
951022656823710
1012999792960000
1141621aa249560
12155b544439400
13733b4bb07942
1432d29c72d7a0
1517824b3dba00
hexbd2c00aa200

12999792960000 has 3600 divisors, whose sum is σ = 61387817160384. Its totient is φ = 2571264000000.

The previous prime is 12999792959981. The next prime is 12999792960001. The reversal of 12999792960000 is 6929799921.

12999792960000 is a `hidden beast` number, since 12 + 9 + 9 + 9 + 7 + 9 + 2 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12999792960000.

It is not an unprimeable number, because it can be changed into a prime (12999792960001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 213111359970 + ... + 213111360030.

Almost surely, 212999792960000 is an apocalyptic number.

12999792960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12999792960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30693908580192).

12999792960000 is an abundant number, since it is smaller than the sum of its proper divisors (48388024200384).

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

12999792960000 is an equidigital number, since it uses as much as digits as its factorization.

12999792960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The spelling of 12999792960000 in words is "twelve trillion, nine hundred ninety-nine billion, seven hundred ninety-two million, nine hundred sixty thousand".