120919680 has 192 divisors, whose sum is σ = 477360000. Its totient is φ = 27629568.

The previous prime is 120919679. The next prime is 120919693. The reversal of 120919680 is 86919021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×120919680² = 29243138022604800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38821 + ... + 41819.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 2^120919680 is an apocalyptic number.

120919680 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 120919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680000).

120919680 is an abundant number, since it is smaller than the sum of its proper divisors (356440320).

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

120919680 is a wasteful number, since it uses less digits than its factorization.

120919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3016 counting only the distinct ones).

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

The square root of 120919680 is about 10996.3484848380. The cubic root of 120919680 is about 494.4992793996.

The spelling of 120919680 in words is "one hundred twenty million, nine hundred nineteen thousand, six hundred eighty".