121485600 has 216 divisors, whose sum is σ = 438721920. Its totient is φ = 31618560.

The previous prime is 121485577. The next prime is 121485641. The reversal of 121485600 is 6584121.

121485600 is a `hidden beast` number, since 12 + 1 + 48 + 5 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338221 + ... + 338579.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^121485600 is an apocalyptic number.

121485600 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 121485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

121485600 is an abundant number, since it is smaller than the sum of its proper divisors (317236320).

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

121485600 is a wasteful number, since it uses less digits than its factorization.

121485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 121485600 is about 11022.0506259044. The cubic root of 121485600 is about 495.2695195848.

The spelling of 121485600 in words is "one hundred twenty-one million, four hundred eighty-five thousand, six hundred".