121605600 has 144 divisors (see below), whose sum is σ = 413223552. Its totient is φ = 31004160.

The previous prime is 121605593. The next prime is 121605637. The reversal of 121605600 is 6506121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54099 + ... + 56301.

It is an arithmetic number, because the mean of its divisors is an integer number (2869608).

Almost surely, 2^121605600 is an apocalyptic number.

121605600 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 121605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206611776).

121605600 is an abundant number, since it is smaller than the sum of its proper divisors (291617952).

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

121605600 is a wasteful number, since it uses less digits than its factorization.

121605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 121605600 is about 11027.4929154364. The cubic root of 121605600 is about 495.4325369426.

The spelling of 121605600 in words is "one hundred twenty-one million, six hundred five thousand, six hundred".