121275264 has 64 divisors (see below), whose sum is σ = 351434880. Its totient is φ = 36748800.

The previous prime is 121275257. The next prime is 121275269. The reversal of 121275264 is 462572121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121275269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10132 + ... + 18579.

It is an arithmetic number, because the mean of its divisors is an integer number (5491170).

Almost surely, 2^121275264 is an apocalyptic number.

It is an amenable number.

121275264 is an abundant number, since it is smaller than the sum of its proper divisors (230159616).

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

121275264 is a wasteful number, since it uses less digits than its factorization.

121275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28739 (or 28727 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 121275264 is about 11012.5048921669. The cubic root of 121275264 is about 494.9835235818.

It can be divided in two parts, 12127 and 5264, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 121275264 in words is "one hundred twenty-one million, two hundred seventy-five thousand, two hundred sixty-four".