121723200 has 252 divisors, whose sum is σ = 442203840. Its totient is φ = 31749120.

The previous prime is 121723187. The next prime is 121723201. The reversal of 121723200 is 2327121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121723201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1137547 + ... + 1137653.

Almost surely, 2^121723200 is an apocalyptic number.

121723200 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 121723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221101920).

121723200 is an abundant number, since it is smaller than the sum of its proper divisors (320480640).

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

121723200 is a wasteful number, since it uses less digits than its factorization.

121723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 121723200 is about 11032.8237545970. The cubic root of 121723200 is about 495.5921899388.

The spelling of 121723200 in words is "one hundred twenty-one million, seven hundred twenty-three thousand, two hundred".