121493120 has 128 divisors (see below), whose sum is σ = 339586560. Its totient is φ = 40697856.

The previous prime is 121493059. The next prime is 121493129. The reversal of 121493120 is 21394121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121493129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210272 + ... + 210848.

It is an arithmetic number, because the mean of its divisors is an integer number (2653020).

Almost surely, 2^121493120 is an apocalyptic number.

121493120 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 121493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169793280).

121493120 is an abundant number, since it is smaller than the sum of its proper divisors (218093440).

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

121493120 is an equidigital number, since it uses as much as digits as its factorization.

121493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 121493120 is about 11022.3917549686. The cubic root of 121493120 is about 495.2797384913.

The spelling of 121493120 in words is "one hundred twenty-one million, four hundred ninety-three thousand, one hundred twenty".