121864176 has 300 divisors, whose sum is σ = 436166280. Its totient is φ = 32659200.

The previous prime is 121864163. The next prime is 121864181. The reversal of 121864176 is 671468121.

It is a happy number.

121864176 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 641 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 121864176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1206526 + ... + 1206626.

Almost surely, 2^121864176 is an apocalyptic number.

121864176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121864176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218083140).

121864176 is an abundant number, since it is smaller than the sum of its proper divisors (314302104).

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

121864176 is a wasteful number, since it uses less digits than its factorization.

121864176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 121864176 is about 11039.2108413600. The cubic root of 121864176 is about 495.7834425772.

The spelling of 121864176 in words is "one hundred twenty-one million, eight hundred sixty-four thousand, one hundred seventy-six".