12072807600 has 120 divisors (see below), whose sum is σ = 44198004480. Its totient is φ = 2759496960.

The previous prime is 12072807599. The next prime is 12072807629. The reversal of 12072807600 is 670827021.

12072807600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×12072807600⁴ (a number of 41 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710220 + ... + 727019.

It is an arithmetic number, because the mean of its divisors is an integer number (368316704).

Almost surely, 2^12072807600 is an apocalyptic number.

12072807600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12072807600 is an abundant number, since it is smaller than the sum of its proper divisors (32125196880).

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

12072807600 is a wasteful number, since it uses less digits than its factorization.

12072807600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437267 (or 1437256 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 12072807600 in words is "twelve billion, seventy-two million, eight hundred seven thousand, six hundred".