121764800 has 42 divisors (see below), whose sum is σ = 299621448. Its totient is φ = 48705280.

The previous prime is 121764791. The next prime is 121764809. The reversal of 121764800 is 8467121.

It is an interprime number because it is at equal distance from previous prime (121764791) and next prime (121764809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121764809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36452 + ... + 39651.

It is an arithmetic number, because the mean of its divisors is an integer number (7133844).

Almost surely, 2^121764800 is an apocalyptic number.

121764800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121764800 is an abundant number, since it is smaller than the sum of its proper divisors (177856648).

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

121764800 is an equidigital number, since it uses as much as digits as its factorization.

121764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76125 (or 76110 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 121764800 is about 11034.7088769935. The cubic root of 121764800 is about 495.6486412067.

The spelling of 121764800 in words is "one hundred twenty-one million, seven hundred sixty-four thousand, eight hundred".