121257864 has 256 divisors, whose sum is σ = 430080000. Its totient is φ = 30792960.

The previous prime is 121257853. The next prime is 121257881. The reversal of 121257864 is 468752121.

121257864 is a `hidden beast` number, since 1 + 21 + 2 + 578 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609237 + ... + 609435.

It is an arithmetic number, because the mean of its divisors is an integer number (1680000).

Almost surely, 2^121257864 is an apocalyptic number.

121257864 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 121257864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040000).

121257864 is an abundant number, since it is smaller than the sum of its proper divisors (308822136).

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

121257864 is a wasteful number, since it uses less digits than its factorization.

121257864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

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

The square root of 121257864 is about 11011.7148528283. The cubic root of 121257864 is about 494.9598498197.

The spelling of 121257864 in words is "one hundred twenty-one million, two hundred fifty-seven thousand, eight hundred sixty-four".