121828608 has 324 divisors, whose sum is σ = 424089120. Its totient is φ = 33454080.

The previous prime is 121828601. The next prime is 121828621. The reversal of 121828608 is 806828121.

121828608 is a `hidden beast` number, since 1 + 21 + 8 + 28 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121828601) 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 35 ways as a sum of consecutive naturals, for example, 5296885 + ... + 5296907.

Almost surely, 2^121828608 is an apocalyptic number.

121828608 is a gapful number since it is divisible by the number (18) 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 121828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212044560).

121828608 is an abundant number, since it is smaller than the sum of its proper divisors (302260512).

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

121828608 is a wasteful number, since it uses less digits than its factorization.

121828608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 121828608 is about 11037.5997390737. The cubic root of 121828608 is about 495.7352037868.

The spelling of 121828608 in words is "one hundred twenty-one million, eight hundred twenty-eight thousand, six hundred eight".