121875264 has 168 divisors, whose sum is σ = 403847808. Its totient is φ = 34421760.

The previous prime is 121875251. The next prime is 121875269. The reversal of 121875264 is 462578121.

121875264 is a `hidden beast` number, since 121 + 8 + 7 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121875269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673254 + ... + 673434.

It is an arithmetic number, because the mean of its divisors is an integer number (2403856).

Almost surely, 2^121875264 is an apocalyptic number.

121875264 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 121875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201923904).

121875264 is an abundant number, since it is smaller than the sum of its proper divisors (281972544).

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

121875264 is a wasteful number, since it uses less digits than its factorization.

121875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

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

The square root of 121875264 is about 11039.7130397488. The cubic root of 121875264 is about 495.7984786616.

It can be divided in two parts, 1218752 and 64, that added together give a square (1218816 = 1104²).

The spelling of 121875264 in words is "one hundred twenty-one million, eight hundred seventy-five thousand, two hundred sixty-four".