12072602880 has 720 divisors, whose sum is σ = 47679120720. Its totient is φ = 2915647488.

The previous prime is 12072602873. The next prime is 12072602897. The reversal of 12072602880 is 8820627021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7817389056 + 4255213824 = 88416^2 + 65232^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 227784934 + ... + 227784986.

It is an arithmetic number, because the mean of its divisors is an integer number (66221001).

Almost surely, 2^12072602880 is an apocalyptic number.

12072602880 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 12072602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23839560360).

12072602880 is an abundant number, since it is smaller than the sum of its proper divisors (35606517840).

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

12072602880 is an frugal number, since it uses more digits than its factorization.

12072602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12072602880 in words is "twelve billion, seventy-two million, six hundred two thousand, eight hundred eighty".