12405664440120 has 128 divisors (see below), whose sum is σ = 42931218240000. Its totient is φ = 2809079671296.

The previous prime is 12405664440109. The next prime is 12405664440161. The reversal of 12405664440120 is 2104446650421.

It is a super-2 number, since 2×12405664440120² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 68922495 + ... + 69102254.

It is an arithmetic number, because the mean of its divisors is an integer number (335400142500).

Almost surely, 2^{12405664440120} is an apocalyptic number.

12405664440120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12405664440120 is an abundant number, since it is smaller than the sum of its proper divisors (30525553799880).

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

12405664440120 is a wasteful number, since it uses less digits than its factorization.

12405664440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138024877 (or 138024873 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 12405664440120 in words is "twelve trillion, four hundred five billion, six hundred sixty-four million, four hundred forty thousand, one hundred twenty".