12252838400 has 240 divisors, whose sum is σ = 35072040960. Its totient is φ = 4192665600.

The previous prime is 12252838361. The next prime is 12252838421. The reversal of 12252838400 is 483825221.

It is a super-3 number, since 3×12252838400³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2391041 + ... + 2396159.

It is an arithmetic number, because the mean of its divisors is an integer number (146133504).

Almost surely, 2^12252838400 is an apocalyptic number.

12252838400 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 12252838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536020480).

12252838400 is an abundant number, since it is smaller than the sum of its proper divisors (22819202560).

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

12252838400 is a wasteful number, since it uses less digits than its factorization.

12252838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 12252838400 in words is "twelve billion, two hundred fifty-two million, eight hundred thirty-eight thousand, four hundred".