12120579072 has 176 divisors, whose sum is σ = 41023845120. Its totient is φ = 3462967296.

The previous prime is 12120579043. The next prime is 12120579073. The reversal of 12120579072 is 27097502121.

12120579072 is a `hidden beast` number, since 1 + 2 + 12 + 0 + 579 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120579073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162223 + ... + 224849.

Almost surely, 2^12120579072 is an apocalyptic number.

12120579072 is a gapful number since it is divisible by the number (12) 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 12120579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20511922560).

12120579072 is an abundant number, since it is smaller than the sum of its proper divisors (28903266048).

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

12120579072 is an equidigital number, since it uses as much as digits as its factorization.

12120579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62663 (or 62639 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12120579072 in words is "twelve billion, one hundred twenty million, five hundred seventy-nine thousand, seventy-two".