12607932000 has 192 divisors, whose sum is σ = 41463624384. Its totient is φ = 3349094400.

The previous prime is 12607931993. The next prime is 12607932013. The reversal of 12607932000 is 23970621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3322104 + ... + 3325896.

It is an arithmetic number, because the mean of its divisors is an integer number (215956377).

Almost surely, 2^12607932000 is an apocalyptic number.

12607932000 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 12607932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20731812192).

12607932000 is an abundant number, since it is smaller than the sum of its proper divisors (28855692384).

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

12607932000 is a wasteful number, since it uses less digits than its factorization.

12607932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 12607932000 in words is "twelve billion, six hundred seven million, nine hundred thirty-two thousand".