121918464 has 66 divisors (see below), whose sum is σ = 352063530. Its totient is φ = 40636416.

The previous prime is 121918439. The next prime is 121918471. The reversal of 121918464 is 464819121.

121918464 is a `hidden beast` number, since 1 + 2 + 191 + 8 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121881600 + 36864 = 11040^2 + 192^2 .

It is a super-2 number, since 2×121918464² = 29728223728238592, which contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2602 + ... + 15830.

Almost surely, 2^121918464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176031765).

121918464 is an abundant number, since it is smaller than the sum of its proper divisors (230145066).

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

121918464 is a wasteful number, since it uses less digits than its factorization.

121918464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13255 (or 13234 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 121918464 is about 11041.6694389934. The cubic root of 121918464 is about 495.8570521118.

It can be divided in two parts, 1219 and 18464, that added together give a 9-th power (19683 = 3⁹).

The spelling of 121918464 in words is "one hundred twenty-one million, nine hundred eighteen thousand, four hundred sixty-four".