12059407077120 has 576 divisors, whose sum is σ = 47572703539200. Its totient is φ = 2872709038080.

The previous prime is 12059407077101. The next prime is 12059407077163. The reversal of 12059407077120 is 2177070495021.

12059407077120 is a `hidden beast` number, since 1 + 2 + 0 + 59 + 407 + 0 + 77 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13494751 + ... + 14360609.

It is an arithmetic number, because the mean of its divisors is an integer number (82591499200).

Almost surely, 2^{12059407077120} is an apocalyptic number.

12059407077120 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 12059407077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23786351769600).

12059407077120 is an abundant number, since it is smaller than the sum of its proper divisors (35513296462080).

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

12059407077120 is a wasteful number, since it uses less digits than its factorization.

12059407077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865933 (or 865913 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 12059407077120 in words is "twelve trillion, fifty-nine billion, four hundred seven million, seventy-seven thousand, one hundred twenty".