120181440 has 112 divisors (see below), whose sum is σ = 398239488. Its totient is φ = 30649344.

The previous prime is 120181429. The next prime is 120181447. The reversal of 120181440 is 44181021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120181447) 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, 19359 + ... + 24801.

Almost surely, 2^120181440 is an apocalyptic number.

120181440 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 120181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199119744).

120181440 is an abundant number, since it is smaller than the sum of its proper divisors (278058048).

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

120181440 is a wasteful number, since it uses less digits than its factorization.

120181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 120181440 is about 10962.7295871056. The cubic root of 120181440 is about 493.4908838569.

The spelling of 120181440 in words is "one hundred twenty million, one hundred eighty-one thousand, four hundred forty".