121441100 has 72 divisors (see below), whose sum is σ = 290325168. Its totient is φ = 43724800.

The previous prime is 121441093. The next prime is 121441129. The reversal of 121441100 is 1144121.

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, 123812 + ... + 124788.

It is an arithmetic number, because the mean of its divisors is an integer number (4032294).

Almost surely, 2^121441100 is an apocalyptic number.

121441100 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 121441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145162584).

121441100 is an abundant number, since it is smaller than the sum of its proper divisors (168884068).

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

121441100 is a wasteful number, since it uses less digits than its factorization.

121441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 121441100 is about 11020.0317603898. The cubic root of 121441100 is about 495.2090400296.

Adding to 121441100 its reverse (1144121), we get a palindrome (122585221).

The spelling of 121441100 in words is "one hundred twenty-one million, four hundred forty-one thousand, one hundred".