12259374792921 has 135 divisors (see below), whose sum is σ = 19368516855597. Its totient is φ = 7472137533120.

The previous prime is 12259374792877. The next prime is 12259374792941. The reversal of 12259374792921 is 12929747395221.

It is a happy number.

The square root of 12259374792921 is 3501339.

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

12259374792921 is a `hidden beast` number, since 1 + 2 + 259 + 374 + 7 + 9 + 2 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1647000056025 + 10612374736896 = 1283355^2 + 3257664^2 .

It is not a de Polignac number, because 12259374792921 - 2⁹ = 12259374792409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12259374792941) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 200973357231 + ... + 200973357291.

Almost surely, 2^{12259374792921} is an apocalyptic number.

12259374792921 is the 3501339-th square number.

12259374792921 is the 1750670-th centered octagonal number.

It is an amenable number.

12259374792921 is a deficient number, since it is larger than the sum of its proper divisors (7109142062676).

12259374792921 is an frugal number, since it uses more digits than its factorization.

12259374792921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 136 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 12259374792921 in words is "twelve trillion, two hundred fifty-nine billion, three hundred seventy-four million, seven hundred ninety-two thousand, nine hundred twenty-one".