122966031890025 has 81 divisors (see below), whose sum is σ = 222031843624773. Its totient is φ = 65054313172800.

The previous prime is 122966031889991. The next prime is 122966031890041. The reversal of 122966031890025 is 520098130669221.

The square root of 122966031890025 is 11089005.

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

122966031890025 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 6 + 603 + 1 + 8 + 9 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9029706472809 + 113936325417216 = 3004947^2 + 10674096^2 .

It is not a de Polignac number, because 122966031890025 - 2¹⁵ = 122966031857257 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21124551615 + ... + 21124557435.

Almost surely, 2^{122966031890025} is an apocalyptic number.

122966031890025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122966031890025 is the 11089005-th square number.

122966031890025 is the 5544503-rd centered octagonal number.

It is an amenable number.

122966031890025 is a deficient number, since it is larger than the sum of its proper divisors (99065811734748).

122966031890025 is an frugal number, since it uses more digits than its factorization.

122966031890025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11912 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 122966031890025 in words is "one hundred twenty-two trillion, nine hundred sixty-six billion, thirty-one million, eight hundred ninety thousand, twenty-five".