12039453961920 has 3024 divisors, whose sum is σ = 57098044523520. Its totient is φ = 2312236523520.

The previous prime is 12039453961879. The next prime is 12039453961937. The reversal of 12039453961920 is 2916935493021.

12039453961920 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 94 + 539 + 6 + 19 + 2 + 0 = 666.

It is a super-3 number, since 3×12039453961920³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13950699409 + ... + 13950700271.

It is an arithmetic number, because the mean of its divisors is an integer number (18881628480).

Almost surely, 2^{12039453961920} is an apocalyptic number.

12039453961920 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 12039453961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28549022261760).

12039453961920 is an abundant number, since it is smaller than the sum of its proper divisors (45058590561600).

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

12039453961920 is a wasteful number, since it uses less digits than its factorization.

12039453961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 12039453961920 in words is "twelve trillion, thirty-nine billion, four hundred fifty-three million, nine hundred sixty-one thousand, nine hundred twenty".