12238220400 has 360 divisors, whose sum is σ = 47182716720. Its totient is φ = 2700472320.

The previous prime is 12238220333. The next prime is 12238220431. The reversal of 12238220400 is 402283221.

12238220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1701612 + ... + 1708788.

It is an arithmetic number, because the mean of its divisors is an integer number (131063102).

Almost surely, 2^12238220400 is an apocalyptic number.

12238220400 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 12238220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23591358360).

12238220400 is an abundant number, since it is smaller than the sum of its proper divisors (34944496320).

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

12238220400 is a wasteful number, since it uses less digits than its factorization.

12238220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 12238220400 in words is "twelve billion, two hundred thirty-eight million, two hundred twenty thousand, four hundred".