12461650106400 has 216 divisors, whose sum is σ = 47937702509424. Its totient is φ = 3021006067200.

The previous prime is 12461650106371. The next prime is 12461650106459. The reversal of 12461650106400 is 460105616421.

12461650106400 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 1 + 6 + 5 + 0 + 1 + 0 + 640 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78592834 + ... + 78751233.

It is an arithmetic number, because the mean of its divisors is an integer number (221933807914).

Almost surely, 2^{12461650106400} is an apocalyptic number.

12461650106400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12461650106400 is an abundant number, since it is smaller than the sum of its proper divisors (35476052403024).

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

12461650106400 is a wasteful number, since it uses less digits than its factorization.

12461650106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157344104 (or 157344088 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12461650106400 in words is "twelve trillion, four hundred sixty-one billion, six hundred fifty million, one hundred six thousand, four hundred".