120287820 has 48 divisors (see below), whose sum is σ = 339252480. Its totient is φ = 31843776.

The previous prime is 120287807. The next prime is 120287831. The reversal of 120287820 is 28782021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 15551.

It is an arithmetic number, because the mean of its divisors is an integer number (7067760).

Almost surely, 2^120287820 is an apocalyptic number.

120287820 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 120287820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169626240).

120287820 is an abundant number, since it is smaller than the sum of its proper divisors (218964660).

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

120287820 is a wasteful number, since it uses less digits than its factorization.

120287820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14574 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 120287820 is about 10967.5804077290. The cubic root of 120287820 is about 493.6364473155.

The spelling of 120287820 in words is "one hundred twenty million, two hundred eighty-seven thousand, eight hundred twenty".