121809600 has 252 divisors, whose sum is σ = 472912440. Its totient is φ = 29491200.

The previous prime is 121809581. The next prime is 121809613. The reversal of 121809600 is 6908121.

It is an unprimeable number.

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, 158016 + ... + 158784.

Almost surely, 2^121809600 is an apocalyptic number.

121809600 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 121809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236456220).

121809600 is an abundant number, since it is smaller than the sum of its proper divisors (351102840).

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

121809600 is a wasteful number, since it uses less digits than its factorization.

121809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 121809600 is about 11036.7386487132. The cubic root of 121809600 is about 495.7094205026.

The spelling of 121809600 in words is "one hundred twenty-one million, eight hundred nine thousand, six hundred".