121572864 has 120 divisors (see below), whose sum is σ = 401097840. Its totient is φ = 34725888.

The previous prime is 121572853. The next prime is 121572883. The reversal of 121572864 is 468275121.

121572864 is a `hidden beast` number, since 1 + 2 + 1 + 572 + 86 + 4 = 666.

It is a super-2 number, since 2×121572864² = 29559922522324992, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30372 + ... + 34140.

It is an arithmetic number, because the mean of its divisors is an integer number (3342482).

Almost surely, 2^121572864 is an apocalyptic number.

121572864 is a gapful number since it is divisible by the number (14) 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 121572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200548920).

121572864 is an abundant number, since it is smaller than the sum of its proper divisors (279524976).

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

121572864 is an equidigital number, since it uses as much as digits as its factorization.

121572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3781 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 121572864 is about 11026.0085253005. The cubic root of 121572864 is about 495.3880764488.

It can be divided in two parts, 121 and 572864, that added together give a triangular number (572985 = T₁₀₇₀).

The spelling of 121572864 in words is "one hundred twenty-one million, five hundred seventy-two thousand, eight hundred sixty-four".