12666102400 has 96 divisors (see below), whose sum is σ = 35759184480. Its totient is φ = 4342656000.

The previous prime is 12666102389. The next prime is 12666102443. The reversal of 12666102400 is 420166621.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 260326 + ... + 305125.

It is an arithmetic number, because the mean of its divisors is an integer number (372491505).

Almost surely, 2^12666102400 is an apocalyptic number.

12666102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12666102400 is an abundant number, since it is smaller than the sum of its proper divisors (23093082080).

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

12666102400 is an equidigital number, since it uses as much as digits as its factorization.

12666102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565482 (or 565465 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 12666102400 in words is "twelve billion, six hundred sixty-six million, one hundred two thousand, four hundred".