121664125 has 32 divisors (see below), whose sum is σ = 174395520. Its totient is φ = 83808000.

The previous prime is 121664113. The next prime is 121664129. The reversal of 121664125 is 521466121.

It is not a de Polignac number, because 121664125 - 2¹⁵ = 121631357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121664093 and 121664102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121664129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23797 + ... + 28453.

It is an arithmetic number, because the mean of its divisors is an integer number (5449860).

Almost surely, 2^121664125 is an apocalyptic number.

It is an amenable number.

121664125 is a deficient number, since it is larger than the sum of its proper divisors (52731395).

121664125 is a wasteful number, since it uses less digits than its factorization.

121664125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4692 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 121664125 is about 11030.1461912343. The cubic root of 121664125 is about 495.5120029622.

It can be divided in two parts, 1216 and 64125, that added together give a triangular number (65341 = T₃₆₁).

The spelling of 121664125 in words is "one hundred twenty-one million, six hundred sixty-four thousand, one hundred twenty-five".