12702138768036 has 243 divisors, whose sum is σ = 33294558098529. Its totient is φ = 4083153369984.

The previous prime is 12702138768031. The next prime is 12702138768041. The reversal of 12702138768036 is 63086783120721.

It is a happy number.

The square root of 12702138768036 is 3564006.

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

12702138768036 is a `hidden beast` number, since 1 + 270 + 213 + 87 + 6 + 80 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12702138768031) and next prime (12702138768041).

It can be written as a sum of positive squares in only one way, i.e., 7210352744100 + 5491786023936 = 2685210^2 + 2343456^2 .

It is a super-2 number, since 2×12702138768036² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12702138768031) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123321735561 + ... + 123321735663.

Almost surely, 2^{12702138768036} is an apocalyptic number.

12702138768036 is the 3564006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12702138768036

12702138768036 is an abundant number, since it is smaller than the sum of its proper divisors (20592419330493).

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

12702138768036 is an equidigital number, since it uses as much as digits as its factorization.

12702138768036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12702138768036 in words is "twelve trillion, seven hundred two billion, one hundred thirty-eight million, seven hundred sixty-eight thousand, thirty-six".