120797600 has 288 divisors, whose sum is σ = 384725376. Its totient is φ = 35942400.

The previous prime is 120797591. The next prime is 120797617. The reversal of 120797600 is 6797021.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2279174 + ... + 2279226.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^120797600 is an apocalyptic number.

120797600 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 120797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192362688).

120797600 is an abundant number, since it is smaller than the sum of its proper divisors (263927776).

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

120797600 is a wasteful number, since it uses less digits than its factorization.

120797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 120797600 is about 10990.7961495062. The cubic root of 120797600 is about 494.3328085672.

The spelling of 120797600 in words is "one hundred twenty million, seven hundred ninety-seven thousand, six hundred".