121048800 has 144 divisors (see below), whose sum is σ = 406973952. Its totient is φ = 31219200.

The previous prime is 121048787. The next prime is 121048843. The reversal of 121048800 is 8840121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73587 + ... + 75213.

It is an arithmetic number, because the mean of its divisors is an integer number (2826208).

Almost surely, 2^121048800 is an apocalyptic number.

121048800 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 121048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203486976).

121048800 is an abundant number, since it is smaller than the sum of its proper divisors (285925152).

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

121048800 is a wasteful number, since it uses less digits than its factorization.

121048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 121048800 is about 11002.2179582119. The cubic root of 121048800 is about 494.6752282439.

Adding to 121048800 its reverse (8840121), we get a palindrome (129888921).

The spelling of 121048800 in words is "one hundred twenty-one million, forty-eight thousand, eight hundred".