120257040 has 80 divisors (see below), whose sum is σ = 377350848. Its totient is φ = 31676928.

The previous prime is 120257003. The next prime is 120257069. The reversal of 120257040 is 40752021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 120256998 and 120257016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16902 + ... + 22938.

Almost surely, 2^120257040 is an apocalyptic number.

120257040 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 120257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188675424).

120257040 is an abundant number, since it is smaller than the sum of its proper divisors (257093808).

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

120257040 is a wasteful number, since it uses less digits than its factorization.

120257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 120257040 is about 10966.1770914025. The cubic root of 120257040 is about 493.5943387961.

The spelling of 120257040 in words is "one hundred twenty million, two hundred fifty-seven thousand, forty".