121441920 has 128 divisors (see below), whose sum is σ = 407592000. Its totient is φ = 30670848.

The previous prime is 121441919. The next prime is 121441961. The reversal of 121441920 is 29144121.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34816 + ... + 38144.

Almost surely, 2^121441920 is an apocalyptic number.

121441920 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 121441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203796000).

121441920 is an abundant number, since it is smaller than the sum of its proper divisors (286150080).

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

121441920 is a wasteful number, since it uses less digits than its factorization.

121441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 121441920 is about 11020.0689653014. The cubic root of 121441920 is about 495.2101546179.

It can be divided in two parts, 1214 and 41920, that added together give a palindrome (43134).

The spelling of 121441920 in words is "one hundred twenty-one million, four hundred forty-one thousand, nine hundred twenty".