120517020 has 72 divisors (see below), whose sum is σ = 393696576. Its totient is φ = 29665152.

The previous prime is 120517013. The next prime is 120517037. The reversal of 120517020 is 20715021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120516984 and 120517002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23412 + ... + 28091.

It is an arithmetic number, because the mean of its divisors is an integer number (5468008).

Almost surely, 2^120517020 is an apocalyptic number.

120517020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120517020 is an abundant number, since it is smaller than the sum of its proper divisors (273179556).

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

120517020 is a wasteful number, since it uses less digits than its factorization.

120517020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51531 (or 51526 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 120517020 is about 10978.0244124341. The cubic root of 120517020 is about 493.9497782598.

It can be divided in two parts, 1205 and 17020, that added together give a square (18225 = 135²).

The spelling of 120517020 in words is "one hundred twenty million, five hundred seventeen thousand, twenty".