12251865600 has 840 divisors, whose sum is σ = 49497777252. Its totient is φ = 2985984000.

The previous prime is 12251865569. The next prime is 12251865623. The reversal of 12251865600 is 656815221.

12251865600 is a `hidden beast` number, since 1 + 22 + 518 + 65 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5585469696 + 6666395904 = 74736^2 + 81648^2 .

It is a super-3 number, since 3×12251865600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 121305550 + ... + 121305650.

Almost surely, 2^12251865600 is an apocalyptic number.

12251865600 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 12251865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748888626).

12251865600 is an abundant number, since it is smaller than the sum of its proper divisors (37245911652).

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

12251865600 is an equidigital number, since it uses as much as digits as its factorization.

12251865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12251865600 in words is "twelve billion, two hundred fifty-one million, eight hundred sixty-five thousand, six hundred".