12234112800 has 864 divisors, whose sum is σ = 51236720640. Its totient is φ = 2480025600.

The previous prime is 12234112763. The next prime is 12234112817. The reversal of 12234112800 is 821143221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88015131 + ... + 88015269.

It is an arithmetic number, because the mean of its divisors is an integer number (59301760).

Almost surely, 2^12234112800 is an apocalyptic number.

12234112800 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 12234112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25618360320).

12234112800 is an abundant number, since it is smaller than the sum of its proper divisors (39002607840).

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

12234112800 is a wasteful number, since it uses less digits than its factorization.

12234112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12234112800 in words is "twelve billion, two hundred thirty-four million, one hundred twelve thousand, eight hundred".