12004377120 has 192 divisors, whose sum is σ = 43842435840. Its totient is φ = 3061960704.

The previous prime is 12004377109. The next prime is 12004377173. The reversal of 12004377120 is 2177340021.

It is a happy number.

12004377120 is a `hidden beast` number, since 1 + 200 + 437 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38952 + ... + 159768.

It is an arithmetic number, because the mean of its divisors is an integer number (228346020).

Almost surely, 2^12004377120 is an apocalyptic number.

12004377120 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 12004377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21921217920).

12004377120 is an abundant number, since it is smaller than the sum of its proper divisors (31838058720).

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

12004377120 is a wasteful number, since it uses less digits than its factorization.

12004377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120864 (or 120850 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 12004377120 in words is "twelve billion, four million, three hundred seventy-seven thousand, one hundred twenty".