12010682400 has 72 divisors (see below), whose sum is σ = 39094779024. Its totient is φ = 3202848000.

The previous prime is 12010682381. The next prime is 12010682419. The reversal of 12010682400 is 428601021.

It is an interprime number because it is at equal distance from previous prime (12010682381) and next prime (12010682419).

It is a super-3 number, since 3×12010682400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2499826 + ... + 2504625.

It is an arithmetic number, because the mean of its divisors is an integer number (542983042).

Almost surely, 2^12010682400 is an apocalyptic number.

12010682400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010682400 is an abundant number, since it is smaller than the sum of its proper divisors (27084096624).

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

12010682400 is a wasteful number, since it uses less digits than its factorization.

12010682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004474 (or 5004461 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12010682400 in words is "twelve billion, ten million, six hundred eighty-two thousand, four hundred".