121922400 has 144 divisors (see below), whose sum is σ = 407880144. Its totient is φ = 31610880.

The previous prime is 121922399. The next prime is 121922401. The reversal of 121922400 is 4229121.

It is an interprime number because it is at equal distance from previous prime (121922399) and next prime (121922401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121922401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88114 + ... + 89486.

It is an arithmetic number, because the mean of its divisors is an integer number (2832501).

Almost surely, 2^121922400 is an apocalyptic number.

121922400 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 121922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203940072).

121922400 is an abundant number, since it is smaller than the sum of its proper divisors (285957744).

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

121922400 is a wasteful number, since it uses less digits than its factorization.

121922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 121922400 is about 11041.8476714724. The cubic root of 121922400 is about 495.8623881161.

The spelling of 121922400 in words is "one hundred twenty-one million, nine hundred twenty-two thousand, four hundred".