121971825 has 120 divisors (see below), whose sum is σ = 244865280. Its totient is φ = 59875200.

The previous prime is 121971803. The next prime is 121971877. The reversal of 121971825 is 528179121.

It is a happy number.

It is not a de Polignac number, because 121971825 - 2¹⁷ = 121840753 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 121971825.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1820442 + ... + 1820508.

It is an arithmetic number, because the mean of its divisors is an integer number (2040544).

Almost surely, 2^121971825 is an apocalyptic number.

121971825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121971825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

121971825 is a wasteful number, since it uses less digits than its factorization.

121971825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 121971825 is about 11044.0855212190. The cubic root of 121971825 is about 495.9293834278.

The spelling of 121971825 in words is "one hundred twenty-one million, nine hundred seventy-one thousand, eight hundred twenty-five".