127029972752 has 20 divisors (see below), whose sum is σ = 254607489420. Its totient is φ = 61324814208.

The previous prime is 127029972743. The next prime is 127029972787. The reversal of 127029972752 is 257279920721.

It can be written as a sum of positive squares in 2 ways, for example, as 44739018256 + 82290954496 = 211516^2 + 286864^2 .

It is a super-2 number, since 2×127029972752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127029972694 and 127029972703.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136885283 + ... + 136886210.

It is an arithmetic number, because the mean of its divisors is an integer number (12730374471).

Almost surely, 2^127029972752 is an apocalyptic number.

It is an amenable number.

127029972752 is an abundant number, since it is smaller than the sum of its proper divisors (127577516668).

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

127029972752 is a wasteful number, since it uses less digits than its factorization.

127029972752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273771530 (or 273771524 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 53.

The spelling of 127029972752 in words is "one hundred twenty-seven billion, twenty-nine million, nine hundred seventy-two thousand, seven hundred fifty-two".