120777100 has 36 divisors (see below), whose sum is σ = 264002200. Its totient is φ = 47957760.

The previous prime is 120777049. The next prime is 120777101. The reversal of 120777100 is 1777021.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (120777101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9556 + ... + 18244.

Almost surely, 2^120777100 is an apocalyptic number.

120777100 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 120777100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132001100).

120777100 is an abundant number, since it is smaller than the sum of its proper divisors (143225100).

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

120777100 is a wasteful number, since it uses less digits than its factorization.

120777100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8842 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 120777100 is about 10989.8635114363. The cubic root of 120777100 is about 494.3048433431.

The spelling of 120777100 in words is "one hundred twenty million, seven hundred seventy-seven thousand, one hundred".