12079766972416 has 1152 divisors, whose sum is σ = 31563384652800. Its totient is φ = 4577977958400.

The previous prime is 12079766972411. The next prime is 12079766972423. The reversal of 12079766972416 is 61427966797021.

It is not an unprimeable number, because it can be changed into a prime (12079766972411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124533680080 + ... + 124533680176.

It is an arithmetic number, because the mean of its divisors is an integer number (27398771400).

Almost surely, 2^{12079766972416} is an apocalyptic number.

12079766972416 is a gapful number since it is divisible by the number (16) 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 12079766972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781692326400).

12079766972416 is an abundant number, since it is smaller than the sum of its proper divisors (19483617680384).

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

12079766972416 is a wasteful number, since it uses less digits than its factorization.

12079766972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 67.

The spelling of 12079766972416 in words is "twelve trillion, seventy-nine billion, seven hundred sixty-six million, nine hundred seventy-two thousand, four hundred sixteen".