120075060 has 192 divisors, whose sum is σ = 415457280. Its totient is φ = 25297920.

The previous prime is 120074957. The next prime is 120075061. The reversal of 120075060 is 60570021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120075061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326997 + ... + 327363.

It is an arithmetic number, because the mean of its divisors is an integer number (2163840).

Almost surely, 2^120075060 is an apocalyptic number.

120075060 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 120075060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207728640).

120075060 is an abundant number, since it is smaller than the sum of its proper divisors (295382220).

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

120075060 is a wasteful number, since it uses less digits than its factorization.

120075060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120075060 is about 10957.8766191265. The cubic root of 120075060 is about 493.3452344747.

The spelling of 120075060 in words is "one hundred twenty million, seventy-five thousand, sixty".