121696164 has 18 divisors (see below), whose sum is σ = 307620950. Its totient is φ = 40565376.

The previous prime is 121696153. The next prime is 121696189. The reversal of 121696164 is 461696121.

It can be written as a sum of positive squares in only one way, i.e., 69856164 + 51840000 = 8358^2 + 7200^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3380449 = 121696164 / (1 + 2 + 1 + 6 + 9 + 6 + 1 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1690189 + ... + 1690260.

Almost surely, 2^121696164 is an apocalyptic number.

It is an amenable number.

121696164 is an abundant number, since it is smaller than the sum of its proper divisors (185924786).

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

121696164 is a wasteful number, since it uses less digits than its factorization.

121696164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380459 (or 3380454 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 121696164 is about 11031.5984335907. The cubic root of 121696164 is about 495.5554951467. Note that the first 3 decimals are identical.

The spelling of 121696164 in words is "one hundred twenty-one million, six hundred ninety-six thousand, one hundred sixty-four".