12180722400 has 864 divisors, whose sum is σ = 54284525568. Its totient is φ = 2496614400.

The previous prime is 12180722371. The next prime is 12180722417. The reversal of 12180722400 is 422708121.

12180722400 is a `hidden beast` number, since 12 + 180 + 72 + 2 + 400 = 666.

It is a congruent number.

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, 70408714 + ... + 70408886.

It is an arithmetic number, because the mean of its divisors is an integer number (62829312).

Almost surely, 2^12180722400 is an apocalyptic number.

12180722400 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 12180722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27142262784).

12180722400 is an abundant number, since it is smaller than the sum of its proper divisors (42103803168).

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

12180722400 is a wasteful number, since it uses less digits than its factorization.

12180722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 12180722400 in words is "twelve billion, one hundred eighty million, seven hundred twenty-two thousand, four hundred".