126012816253 has 24 divisors (see below), whose sum is σ = 135478500696. Its totient is φ = 117159350400.

The previous prime is 126012816233. The next prime is 126012816257. The reversal of 126012816253 is 352618210621.

It can be written as a sum of positive squares in 4 ways, for example, as 1362864889 + 124649951364 = 36917^2 + 353058^2 .

It is not a de Polignac number, because 126012816253 - 2⁵ = 126012816221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126012816257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10145475 + ... + 10157887.

It is an arithmetic number, because the mean of its divisors is an integer number (5644937529).

Almost surely, 2^126012816253 is an apocalyptic number.

It is an amenable number.

126012816253 is a deficient number, since it is larger than the sum of its proper divisors (9465684443).

126012816253 is a wasteful number, since it uses less digits than its factorization.

126012816253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12973 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 126012816253 in words is "one hundred twenty-six billion, twelve million, eight hundred sixteen thousand, two hundred fifty-three".