121138800 has 180 divisors, whose sum is σ = 408348120. Its totient is φ = 30661120.

The previous prime is 121138789. The next prime is 121138807. The reversal of 121138800 is 8831121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121138807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2053171 + ... + 2053229.

Almost surely, 2^121138800 is an apocalyptic number.

121138800 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 121138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174060).

121138800 is an abundant number, since it is smaller than the sum of its proper divisors (287209320).

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

121138800 is a wasteful number, since it uses less digits than its factorization.

121138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 121138800 is about 11006.3072826448. The cubic root of 121138800 is about 494.7977951792.

Adding to 121138800 its reverse (8831121), we get a palindrome (129969921).

The spelling of 121138800 in words is "one hundred twenty-one million, one hundred thirty-eight thousand, eight hundred".