120366820 has 96 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 38083584.

The previous prime is 120366739. The next prime is 120366821. The reversal of 120366820 is 28663021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (120366821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92736 + ... + 94024.

It is an arithmetic number, because the mean of its divisors is an integer number (3250800).

Almost surely, 2^120366820 is an apocalyptic number.

120366820 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 120366820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

120366820 is an abundant number, since it is smaller than the sum of its proper divisors (191709980).

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

120366820 is a wasteful number, since it uses less digits than its factorization.

120366820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 120366820 is about 10971.1813402204. The cubic root of 120366820 is about 493.7444902446.

The spelling of 120366820 in words is "one hundred twenty million, three hundred sixty-six thousand, eight hundred twenty".