12134666678400 has 384 divisors, whose sum is σ = 50753727446400. Its totient is φ = 2773637959680.

The previous prime is 12134666678357. The next prime is 12134666678443. The reversal of 12134666678400 is 487666643121.

It is an interprime number because it is at equal distance from previous prime (12134666678357) and next prime (12134666678443).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9427167 + ... + 10636766.

It is an arithmetic number, because the mean of its divisors is an integer number (132171165225).

Almost surely, 2^{12134666678400} is an apocalyptic number.

12134666678400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134666678400 is an abundant number, since it is smaller than the sum of its proper divisors (38619060768000).

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

12134666678400 is a wasteful number, since it uses less digits than its factorization.

12134666678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20063973 (or 20063950 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 12134666678400 in words is "twelve trillion, one hundred thirty-four billion, six hundred sixty-six million, six hundred seventy-eight thousand, four hundred".