127121881727556 has 81 divisors (see below), whose sum is σ = 322041081532989. Its totient is φ = 42281168692032.

The previous prime is 127121881727537. The next prime is 127121881727651. The reversal of 127121881727556 is 655727188121721.

The square root of 127121881727556 is 11274834.

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

127121881727556 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 2 + 1 + 8 + 8 + 1 + 72 + 7 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40379034802500 + 86742846925056 = 6354450^2 + 9313584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127121881727493 and 127121881727502.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35380427296 + ... + 35380430888.

Almost surely, 2^{127121881727556} is an apocalyptic number.

127121881727556 is the 11274834-th square number.

It is an amenable number.

127121881727556 is an abundant number, since it is smaller than the sum of its proper divisors (194919199805433).

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

127121881727556 is an frugal number, since it uses more digits than its factorization.

127121881727556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 4121 counting only the distinct ones).

The product of its digits is 26342400, while the sum is 63.

The spelling of 127121881727556 in words is "one hundred twenty-seven trillion, one hundred twenty-one billion, eight hundred eighty-one million, seven hundred twenty-seven thousand, five hundred fifty-six".