12058513278672 has 480 divisors, whose sum is σ = 38138730774528. Its totient is φ = 3269185920000.

The previous prime is 12058513278661. The next prime is 12058513278743. The reversal of 12058513278672 is 27687231585021.

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, 1472162097 + ... + 1472170287.

Almost surely, 2^{12058513278672} is an apocalyptic number.

12058513278672 is a gapful number since it is divisible by the number (12) 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 12058513278672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19069365387264).

12058513278672 is an abundant number, since it is smaller than the sum of its proper divisors (26080217495856).

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

12058513278672 is a wasteful number, since it uses less digits than its factorization.

12058513278672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8639 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 12058513278672 in words is "twelve trillion, fifty-eight billion, five hundred thirteen million, two hundred seventy-eight thousand, six hundred seventy-two".