120779100 has 360 divisors, whose sum is σ = 446999168. Its totient is φ = 27993600.

The previous prime is 120779093. The next prime is 120779107. The reversal of 120779100 is 1977021.

It is an interprime number because it is at equal distance from previous prime (120779093) and next prime (120779107).

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 (120779107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3264282 + ... + 3264318.

Almost surely, 2^120779100 is an apocalyptic number.

120779100 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 120779100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223499584).

120779100 is an abundant number, since it is smaller than the sum of its proper divisors (326220068).

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

120779100 is a wasteful number, since it uses less digits than its factorization.

120779100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 120779100 is about 10989.9545040005. The cubic root of 120779100 is about 494.3075717969.

The spelling of 120779100 in words is "one hundred twenty million, seven hundred seventy-nine thousand, one hundred".