120199680 has 320 divisors, whose sum is σ = 447828480. Its totient is φ = 30523392.

The previous prime is 120199631. The next prime is 120199699. The reversal of 120199680 is 86991021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2557417 + ... + 2557463.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 2^120199680 is an apocalyptic number.

120199680 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 120199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

120199680 is an abundant number, since it is smaller than the sum of its proper divisors (327628800).

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

120199680 is an equidigital number, since it uses as much as digits as its factorization.

120199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 120199680 is about 10963.5614651444. The cubic root of 120199680 is about 493.5158483838.

The spelling of 120199680 in words is "one hundred twenty million, one hundred ninety-nine thousand, six hundred eighty".