121064640 has 112 divisors (see below), whose sum is σ = 401165568. Its totient is φ = 30874624.

The previous prime is 121064611. The next prime is 121064689. The reversal of 121064640 is 46460121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121064640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19339 + ... + 24821.

Almost surely, 2^121064640 is an apocalyptic number.

121064640 is a gapful number since it is divisible by the number (10) 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 121064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200582784).

121064640 is an abundant number, since it is smaller than the sum of its proper divisors (280100928).

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

121064640 is a wasteful number, since it uses less digits than its factorization.

121064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 121064640 is about 11002.9377895179. The cubic root of 121064640 is about 494.6968044287.

The spelling of 121064640 in words is "one hundred twenty-one million, sixty-four thousand, six hundred forty".