121312800 has 432 divisors, whose sum is σ = 511842240. Its totient is φ = 26449920.

The previous prime is 121312783. The next prime is 121312811. The reversal of 121312800 is 8213121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1461559 + ... + 1461641.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^121312800 is an apocalyptic number.

121312800 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 121312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

121312800 is an abundant number, since it is smaller than the sum of its proper divisors (390529440).

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

121312800 is a wasteful number, since it uses less digits than its factorization.

121312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121312800 is about 11014.2090047357. The cubic root of 121312800 is about 495.0345858907.

Adding to 121312800 its reverse (8213121), we get a palindrome (129525921).

The spelling of 121312800 in words is "one hundred twenty-one million, three hundred twelve thousand, eight hundred".