12061889832960 has 672 divisors, whose sum is σ = 47337433547040. Its totient is φ = 2924074598400.

The previous prime is 12061889832929. The next prime is 12061889833031. The reversal of 12061889832960 is 6923898816021.

12061889832960 is a `hidden beast` number, since 1 + 2 + 0 + 618 + 8 + 9 + 8 + 3 + 2 + 9 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82041115 + ... + 82188005.

It is an arithmetic number, because the mean of its divisors is an integer number (70442609445).

Almost surely, 2^{12061889832960} is an apocalyptic number.

12061889832960 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 12061889832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23668716773520).

12061889832960 is an abundant number, since it is smaller than the sum of its proper divisors (35275543714080).

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

12061889832960 is an equidigital number, since it uses as much as digits as its factorization.

12061889832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146947 (or 146912 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 12061889832960 in words is "twelve trillion, sixty-one billion, eight hundred eighty-nine million, eight hundred thirty-two thousand, nine hundred sixty".