121620384 has 72 divisors (see below), whose sum is σ = 347999652. Its totient is φ = 40289280.

The previous prime is 121620379. The next prime is 121620419. The reversal of 121620384 is 483026121.

121620384 is a `hidden beast` number, since 1 + 2 + 1 + 620 + 38 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121616784 + 3600 = 11028^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48604 + ... + 51044.

Almost surely, 2^121620384 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 121620384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173999826).

121620384 is an abundant number, since it is smaller than the sum of its proper divisors (226379268).

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

121620384 is a wasteful number, since it uses less digits than its factorization.

121620384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121620384 is about 11028.1632196844. The cubic root of 121620384 is about 495.4526132599.

The spelling of 121620384 in words is "one hundred twenty-one million, six hundred twenty thousand, three hundred eighty-four".