12124407568144 has 45 divisors (see below), whose sum is σ = 23579424019029. Its totient is φ = 6039480173760.

The previous prime is 12124407568123. The next prime is 12124407568157. The reversal of 12124407568144 is 44186570442121.

The square root of 12124407568144 is 3482012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11471362563600 + 653045004544 = 3386940^2 + 808112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4080916579 + ... + 4080919549.

Almost surely, 2^{12124407568144} is an apocalyptic number.

12124407568144 is the 3482012-nd square number.

It is an amenable number.

12124407568144 is a deficient number, since it is larger than the sum of its proper divisors (11455016450885).

12124407568144 is an frugal number, since it uses more digits than its factorization.

12124407568144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

Multiplying 12124407568144 by its sum of digits (49), we get a square (594095970839056 = 24374084²).

The spelling of 12124407568144 in words is "twelve trillion, one hundred twenty-four billion, four hundred seven million, five hundred sixty-eight thousand, one hundred forty-four".