12276634400 has 72 divisors (see below), whose sum is σ = 29989955520. Its totient is φ = 4907439360.

The previous prime is 12276634397. The next prime is 12276634463. The reversal of 12276634400 is 443667221.

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, 1499117 + ... + 1507283.

It is an arithmetic number, because the mean of its divisors is an integer number (416527160).

Almost surely, 2^12276634400 is an apocalyptic number.

12276634400 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 12276634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994977760).

12276634400 is an abundant number, since it is smaller than the sum of its proper divisors (17713321120).

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

12276634400 is a wasteful number, since it uses less digits than its factorization.

12276634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 12276634400 in words is "twelve billion, two hundred seventy-six million, six hundred thirty-four thousand, four hundred".