120083040 has 576 divisors, whose sum is σ = 553029120. Its totient is φ = 23639040.

The previous prime is 120083039. The next prime is 120083063. The reversal of 120083040 is 40380021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6320151 + ... + 6320169.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^120083040 is an apocalyptic number.

120083040 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 120083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

120083040 is an abundant number, since it is smaller than the sum of its proper divisors (432946080).

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

120083040 is a wasteful number, since it uses less digits than its factorization.

120083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120083040 is about 10958.2407347165. The cubic root of 120083040 is about 493.3561632159.

The spelling of 120083040 in words is "one hundred twenty million, eighty-three thousand, forty".