12257162676 has 120 divisors (see below), whose sum is σ = 35082875520. Its totient is φ = 3700771200.

The previous prime is 12257162663. The next prime is 12257162677. The reversal of 12257162676 is 67626175221.

12257162676 is a `hidden beast` number, since 1 + 2 + 2 + 571 + 6 + 2 + 6 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12257162677) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 995365 + ... + 1007603.

It is an arithmetic number, because the mean of its divisors is an integer number (292357296).

Almost surely, 2^12257162676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12257162676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541437760).

12257162676 is an abundant number, since it is smaller than the sum of its proper divisors (22825712844).

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

12257162676 is a wasteful number, since it uses less digits than its factorization.

12257162676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12536 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 12257162676 in words is "twelve billion, two hundred fifty-seven million, one hundred sixty-two thousand, six hundred seventy-six".