12681500054400 has 192 divisors, whose sum is σ = 46410767876400. Its totient is φ = 3381733324800.

The previous prime is 12681500054393. The next prime is 12681500054417. The reversal of 12681500054400 is 445000518621.

It is a happy number.

12681500054400 is a `hidden beast` number, since 1 + 2 + 68 + 1 + 50 + 0 + 0 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×12681500054400³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 73301911 + ... + 73474710.

Almost surely, 2^{12681500054400} is an apocalyptic number.

12681500054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12681500054400 is an abundant number, since it is smaller than the sum of its proper divisors (33729267822000).

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

12681500054400 is a wasteful number, since it uses less digits than its factorization.

12681500054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146776654 (or 146776631 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12681500054400 in words is "twelve trillion, six hundred eighty-one billion, five hundred million, fifty-four thousand, four hundred".