12576023262126 has 320 divisors, whose sum is σ = 31024057591296. Its totient is φ = 3797947699200.

The previous prime is 12576023262119. The next prime is 12576023262193. The reversal of 12576023262126 is 62126232067521.

12576023262126 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 602 + 3 + 26 + 2 + 12 + 6 = 666.

12576023262126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12576023262126² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 556129996 + ... + 556152608.

Almost surely, 2^{12576023262126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12576023262126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15512028795648).

12576023262126 is an abundant number, since it is smaller than the sum of its proper divisors (18448034329170).

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

12576023262126 is a wasteful number, since it uses less digits than its factorization.

12576023262126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22809 (or 22800 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12576023262126 in words is "twelve trillion, five hundred seventy-six billion, twenty-three million, two hundred sixty-two thousand, one hundred twenty-six".