12381555200 has 360 divisors, whose sum is σ = 37598932800. Its totient is φ = 4017807360.

The previous prime is 12381555157. The next prime is 12381555223. The reversal of 12381555200 is 255518321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11916281 + ... + 11917319.

It is an arithmetic number, because the mean of its divisors is an integer number (104441480).

Almost surely, 2^12381555200 is an apocalyptic number.

12381555200 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 12381555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799466400).

12381555200 is an abundant number, since it is smaller than the sum of its proper divisors (25217377600).

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

12381555200 is a wasteful number, since it uses less digits than its factorization.

12381555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 12381555200 in words is "twelve billion, three hundred eighty-one million, five hundred fifty-five thousand, two hundred".