121518400 has 84 divisors (see below), whose sum is σ = 304865532. Its totient is φ = 47656960.

The previous prime is 121518389. The next prime is 121518401. The reversal of 121518400 is 4815121.

It can be written as a sum of positive squares in 6 ways, for example, as 2795584 + 118722816 = 1672^2 + 10896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84084 + ... + 85516.

Almost surely, 2^121518400 is an apocalyptic number.

121518400 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 121518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152432766).

121518400 is an abundant number, since it is smaller than the sum of its proper divisors (183347132).

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

121518400 is a wasteful number, since it uses less digits than its factorization.

121518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 121518400 is about 11023.5384518765. The cubic root of 121518400 is about 495.3140883197.

It can be divided in two parts, 121 and 518400, that multiplied together give a square (62726400 = 7920²).

The spelling of 121518400 in words is "one hundred twenty-one million, five hundred eighteen thousand, four hundred".