120020040 has 192 divisors, whose sum is σ = 451301760. Its totient is φ = 27095040.

The previous prime is 120020027. The next prime is 120020057. The reversal of 120020040 is 40020021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 244195 + ... + 244685.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530).

Almost surely, 2^120020040 is an apocalyptic number.

120020040 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 120020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225650880).

120020040 is an abundant number, since it is smaller than the sum of its proper divisors (331281720).

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

120020040 is a wasteful number, since it uses less digits than its factorization.

120020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120020040 is about 10955.3658085890. The cubic root of 120020040 is about 493.2698704989.

Adding to 120020040 its reverse (40020021), we get a palindrome (160040061).

The spelling of 120020040 in words is "one hundred twenty million, twenty thousand, forty".