120345720 has 256 divisors, whose sum is σ = 432967680. Its totient is φ = 26419200.

The previous prime is 120345653. The next prime is 120345727. The reversal of 120345720 is 27543021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120345727) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 695554 + ... + 695726.

It is an arithmetic number, because the mean of its divisors is an integer number (1691280).

Almost surely, 2^120345720 is an apocalyptic number.

120345720 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 120345720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216483840).

120345720 is an abundant number, since it is smaller than the sum of its proper divisors (312621960).

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

120345720 is a wasteful number, since it uses less digits than its factorization.

120345720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 120345720 is about 10970.2196878640. The cubic root of 120345720 is about 493.7156378372.

Adding to 120345720 its reverse (27543021), we get a palindrome (147888741).

The spelling of 120345720 in words is "one hundred twenty million, three hundred forty-five thousand, seven hundred twenty".