121923200 has 96 divisors (see below), whose sum is σ = 344278560. Its totient is φ = 41794560.

The previous prime is 121923199. The next prime is 121923227. The reversal of 121923200 is 2329121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19679 + ... + 25121.

It is an arithmetic number, because the mean of its divisors is an integer number (3586235).

Almost surely, 2^121923200 is an apocalyptic number.

121923200 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 121923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172139280).

121923200 is an abundant number, since it is smaller than the sum of its proper divisors (222355360).

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

121923200 is an equidigital number, since it uses as much as digits as its factorization.

121923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 121923200 is about 11041.8838972342. The cubic root of 121923200 is about 495.8634726558.

The spelling of 121923200 in words is "one hundred twenty-one million, nine hundred twenty-three thousand, two hundred".