12274304000 has 528 divisors, whose sum is σ = 37860001920. Its totient is φ = 3948134400.

The previous prime is 12274303999. The next prime is 12274304051. The reversal of 12274304000 is 40347221.

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 47 ways as a sum of consecutive naturals, for example, 119167949 + ... + 119168051.

Almost surely, 2^12274304000 is an apocalyptic number.

12274304000 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 12274304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18930000960).

12274304000 is an abundant number, since it is smaller than the sum of its proper divisors (25585697920).

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

12274304000 is a wasteful number, since it uses less digits than its factorization.

12274304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The spelling of 12274304000 in words is "twelve billion, two hundred seventy-four million, three hundred four thousand".