12388792989600 has 864 divisors, whose sum is σ = 48020220009216. Its totient is φ = 3106020556800.

The previous prime is 12388792989589. The next prime is 12388792989641. The reversal of 12388792989600 is 698929788321.

12388792989600 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 8 + 7 + 9 + 2 + 9 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4914236340 + ... + 4914238860.

It is an arithmetic number, because the mean of its divisors is an integer number (55578958344).

Almost surely, 2^{12388792989600} is an apocalyptic number.

12388792989600 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 12388792989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24010110004608).

12388792989600 is an abundant number, since it is smaller than the sum of its proper divisors (35631427019616).

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

12388792989600 is a wasteful number, since it uses less digits than its factorization.

12388792989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 12388792989600 in words is "twelve trillion, three hundred eighty-eight billion, seven hundred ninety-two million, nine hundred eighty-nine thousand, six hundred".