120097440 has 72 divisors (see below), whose sum is σ = 409837428. Its totient is φ = 32025600.

The previous prime is 120097429. The next prime is 120097451. The reversal of 120097440 is 44790021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120097429) and next prime (120097451).

It can be written as a sum of positive squares in 2 ways, for example, as 120033936 + 63504 = 10956^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×120097440³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40261 + ... + 43140.

Almost surely, 2^120097440 is an apocalyptic number.

120097440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120097440 is an abundant number, since it is smaller than the sum of its proper divisors (289739988).

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

120097440 is a wasteful number, since it uses less digits than its factorization.

120097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83422 (or 83411 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 120097440 is about 10958.8977547927. The cubic root of 120097440 is about 493.3758830275.

The spelling of 120097440 in words is "one hundred twenty million, ninety-seven thousand, four hundred forty".