120758040 has 320 divisors, whose sum is σ = 453720960. Its totient is φ = 28615680.

The previous prime is 120758039. The next prime is 120758041. The reversal of 120758040 is 40857021.

It is an interprime number because it is at equal distance from previous prime (120758039) and next prime (120758041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120757995 and 120758013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120758041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1979610 + ... + 1979670.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^120758040 is an apocalyptic number.

120758040 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 120758040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

120758040 is an abundant number, since it is smaller than the sum of its proper divisors (332962920).

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

120758040 is a wasteful number, since it uses less digits than its factorization.

120758040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 120758040 is about 10988.9963144957. The cubic root of 120758040 is about 494.2788396664.

The spelling of 120758040 in words is "one hundred twenty million, seven hundred fifty-eight thousand, forty".