121596800 has 192 divisors, whose sum is σ = 336436800. Its totient is φ = 43130880.

The previous prime is 121596799. The next prime is 121596809. The reversal of 121596800 is 8695121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121596809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539161 + ... + 1539239.

It is an arithmetic number, because the mean of its divisors is an integer number (1752275).

Almost surely, 2^121596800 is an apocalyptic number.

121596800 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 121596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168218400).

121596800 is an abundant number, since it is smaller than the sum of its proper divisors (214840000).

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

121596800 is a wasteful number, since it uses less digits than its factorization.

121596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 121596800 is about 11027.0939054676. The cubic root of 121596800 is about 495.4205859812.

The spelling of 121596800 in words is "one hundred twenty-one million, five hundred ninety-six thousand, eight hundred".