127463851620121 has 9 divisors (see below), whose sum is σ = 135402980518749. Its totient is φ = 119965797355584.

The previous prime is 127463851620113. The next prime is 127463851620169. The reversal of 127463851620121 is 121026158364721.

The square root of 127463851620121 is 11289989.

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

It can be written as a sum of positive squares in 4 ways, for example, as 88514020259721 + 38949831360400 = 9408189^2 + 6240980^2 .

It is not a de Polignac number, because 127463851620121 - 2³ = 127463851620113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127463851624121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 191597755 + ... + 192261871.

Almost surely, 2^{127463851620121} is an apocalyptic number.

127463851620121 is the 11289989-th square number.

127463851620121 is the 5644995-th centered octagonal number.

It is an amenable number.

127463851620121 is a deficient number, since it is larger than the sum of its proper divisors (7939128898628).

127463851620121 is an frugal number, since it uses more digits than its factorization.

127463851620121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328268 (or 664134 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 127463851620121 in words is "one hundred twenty-seven trillion, four hundred sixty-three billion, eight hundred fifty-one million, six hundred twenty thousand, one hundred twenty-one".