12008179038960 has 1440 divisors, whose sum is σ = 47973882617856. Its totient is φ = 2678427648000.

The previous prime is 12008179038949. The next prime is 12008179038967. The reversal of 12008179038960 is 6983097180021.

12008179038960 is a `hidden beast` number, since 120 + 0 + 81 + 7 + 9 + 0 + 389 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12008179038897 and 12008179038906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008179038967) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17377972215 + ... + 17377972905.

Almost surely, 2^{12008179038960} is an apocalyptic number.

12008179038960 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 12008179038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986941308928).

12008179038960 is an abundant number, since it is smaller than the sum of its proper divisors (35965703578896).

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

12008179038960 is a wasteful number, since it uses less digits than its factorization.

12008179038960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 12008179038960 in words is "twelve trillion, eight billion, one hundred seventy-nine million, thirty-eight thousand, nine hundred sixty".