12341158688400 has 120 divisors (see below), whose sum is σ = 39539314500480. Its totient is φ = 3290437086720.

The previous prime is 12341158688357. The next prime is 12341158688413. The reversal of 12341158688400 is 488685114321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6521161 + ... + 8198039.

It is an arithmetic number, because the mean of its divisors is an integer number (329494287504).

Almost surely, 2^{12341158688400} is an apocalyptic number.

12341158688400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341158688400 is an abundant number, since it is smaller than the sum of its proper divisors (27198155812080).

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

12341158688400 is a wasteful number, since it uses less digits than its factorization.

12341158688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683033 (or 1683022 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 12341158688400 in words is "twelve trillion, three hundred forty-one billion, one hundred fifty-eight million, six hundred eighty-eight thousand, four hundred".