12400157672201 has 32 divisors (see below), whose sum is σ = 13996469360160. Its totient is φ = 10906669154304.

The previous prime is 12400157672179. The next prime is 12400157672249. The reversal of 12400157672201 is 10227675100421.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2806549676176 + 9593607996025 = 1675276^2 + 3097355^2 .

It is a cyclic number.

It is not a de Polignac number, because 12400157672201 - 2⁶ = 12400157672137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12400157672701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12428561 + ... + 13389153.

It is an arithmetic number, because the mean of its divisors is an integer number (437389667505).

Almost surely, 2^{12400157672201} is an apocalyptic number.

It is an amenable number.

12400157672201 is a deficient number, since it is larger than the sum of its proper divisors (1596311687959).

12400157672201 is a wasteful number, since it uses less digits than its factorization.

12400157672201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961085.

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 12400157672201 in words is "twelve trillion, four hundred billion, one hundred fifty-seven million, six hundred seventy-two thousand, two hundred one".