12612096000 has 1248 divisors, whose sum is σ = 57408818688. Its totient is φ = 2595225600.

The previous prime is 12612095989. The next prime is 12612096019. The reversal of 12612096000 is 69021621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548351989 + ... + 548352011.

It is an arithmetic number, because the mean of its divisors is an integer number (46000656).

Almost surely, 2^12612096000 is an apocalyptic number.

12612096000 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 12612096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28704409344).

12612096000 is an abundant number, since it is smaller than the sum of its proper divisors (44796722688).

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

12612096000 is a wasteful number, since it uses less digits than its factorization.

12612096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12612096000 in words is "twelve billion, six hundred twelve million, ninety-six thousand".