121030251890625 has 945 divisors, whose sum is σ = 291257255394567. Its totient is φ = 49902237000000.

The previous prime is 121030251890593. The next prime is 121030251890627. The reversal of 121030251890625 is 526098152030121.

The square root of 121030251890625 is 11001375.

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

121030251890625 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 3 + 0 + 2 + 5 + 18 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 106034119560369 + 14996132330256 = 10297287^2 + 3872484^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is not a de Polignac number, because 121030251890625 - 2⁵ = 121030251890593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121030251890627) by changing a digit.

It is a polite number, since it can be written in 944 ways as a sum of consecutive naturals, for example, 952994109312 + ... + 952994109438.

Almost surely, 2^{121030251890625} is an apocalyptic number.

121030251890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121030251890625 is the 11001375-th square number.

121030251890625 is the 5500688-th centered octagonal number.

It is an amenable number.

121030251890625 is an abundant number, since it is smaller than the sum of its proper divisors (170227003503942).

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

121030251890625 is an frugal number, since it uses more digits than its factorization.

121030251890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 121030251890625 in words is "one hundred twenty-one trillion, thirty billion, two hundred fifty-one million, eight hundred ninety thousand, six hundred twenty-five".