120529220 has 72 divisors (see below), whose sum is σ = 304660440. Its totient is φ = 39889920.

The previous prime is 120529219. The next prime is 120529247. The reversal of 120529220 is 22925021.

It can be written as a sum of positive squares in 4 ways, for example, as 45914176 + 74615044 = 6776^2 + 8638^2 .

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, 26300 + ... + 30540.

It is an arithmetic number, because the mean of its divisors is an integer number (4231395).

Almost surely, 2^120529220 is an apocalyptic number.

120529220 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 120529220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152330220).

120529220 is an abundant number, since it is smaller than the sum of its proper divisors (184131220).

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

120529220 is a wasteful number, since it uses less digits than its factorization.

120529220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 120529220 is about 10978.5800539050. The cubic root of 120529220 is about 493.9664452942.

The spelling of 120529220 in words is "one hundred twenty million, five hundred twenty-nine thousand, two hundred twenty".