12071414614400 has 48 divisors (see below), whose sum is σ = 29820166422540. Its totient is φ = 4828565844480.

The previous prime is 12071414614373. The next prime is 12071414614403. The reversal of 12071414614400 is 441641417021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071414614403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1886155334 + ... + 1886161733.

Almost surely, 2^{12071414614400} is an apocalyptic number.

12071414614400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12071414614400 is an abundant number, since it is smaller than the sum of its proper divisors (17748751808140).

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

12071414614400 is an equidigital number, since it uses as much as digits as its factorization.

12071414614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772317091 (or 3772317074 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 12071414614400 in words is "twelve trillion, seventy-one billion, four hundred fourteen million, six hundred fourteen thousand, four hundred".