120407220 has 36 divisors (see below), whose sum is σ = 365235780. Its totient is φ = 32108544.

The previous prime is 120407219. The next prime is 120407233. The reversal of 120407220 is 22704021.

It can be written as a sum of positive squares in 2 ways, for example, as 34363044 + 86044176 = 5862^2 + 9276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 120407193 and 120407202.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 334285 + ... + 334644.

Almost surely, 2^120407220 is an apocalyptic number.

120407220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120407220 is an abundant number, since it is smaller than the sum of its proper divisors (244828560).

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

120407220 is a wasteful number, since it uses less digits than its factorization.

120407220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668944 (or 668939 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 120407220 is about 10973.0223730748. The cubic root of 120407220 is about 493.7997243091.

The spelling of 120407220 in words is "one hundred twenty million, four hundred seven thousand, two hundred twenty".