12165662400 has 672 divisors, whose sum is σ = 45002744640. Its totient is φ = 2862612480.

The previous prime is 12165662287. The next prime is 12165662447. The reversal of 12165662400 is 426656121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125419152 + ... + 125419248.

It is an arithmetic number, because the mean of its divisors is an integer number (66968370).

Almost surely, 2^12165662400 is an apocalyptic number.

12165662400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12165662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22501372320).

12165662400 is an abundant number, since it is smaller than the sum of its proper divisors (32837082240).

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

12165662400 is a wasteful number, since it uses less digits than its factorization.

12165662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12165662400 in words is "twelve billion, one hundred sixty-five million, six hundred sixty-two thousand, four hundred".