12138724800 has 336 divisors, whose sum is σ = 44809359200. Its totient is φ = 3236060160.

The previous prime is 12138724781. The next prime is 12138724837. The reversal of 12138724800 is 842783121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3497466 + ... + 3500934.

Almost surely, 2^12138724800 is an apocalyptic number.

12138724800 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 12138724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404679600).

12138724800 is an abundant number, since it is smaller than the sum of its proper divisors (32670634400).

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

12138724800 is an frugal number, since it uses more digits than its factorization.

12138724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12138724800 in words is "twelve billion, one hundred thirty-eight million, seven hundred twenty-four thousand, eight hundred".