121628304 has 240 divisors, whose sum is σ = 417056640. Its totient is φ = 33592320.

The previous prime is 121628261. The next prime is 121628317. The reversal of 121628304 is 403826121.

121628304 is a `hidden beast` number, since 1 + 2 + 1 + 628 + 30 + 4 = 666.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115802 + ... + 1115910.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 2^121628304 is an apocalyptic number.

121628304 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 121628304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528320).

121628304 is an abundant number, since it is smaller than the sum of its proper divisors (295428336).

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

121628304 is a wasteful number, since it uses less digits than its factorization.

121628304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

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

The square root of 121628304 is about 11028.5222944871. The cubic root of 121628304 is about 495.4633677606.

The spelling of 121628304 in words is "one hundred twenty-one million, six hundred twenty-eight thousand, three hundred four".