120337920 has 160 divisors (see below), whose sum is σ = 427695840. Its totient is φ = 32071680.

The previous prime is 120337901. The next prime is 120337927. The reversal of 120337920 is 29733021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120337927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68250 + ... + 69990.

It is an arithmetic number, because the mean of its divisors is an integer number (2673099).

Almost surely, 2^120337920 is an apocalyptic number.

120337920 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 120337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213847920).

120337920 is an abundant number, since it is smaller than the sum of its proper divisors (307357920).

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

120337920 is an equidigital number, since it uses as much as digits as its factorization.

120337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 120337920 is about 10969.8641741819. The cubic root of 120337920 is about 493.7049711647.

The spelling of 120337920 in words is "one hundred twenty million, three hundred thirty-seven thousand, nine hundred twenty".