120296100 has 72 divisors (see below), whose sum is σ = 349540128. Its totient is φ = 31942400.

The previous prime is 120296093. The next prime is 120296101. The reversal of 120296100 is 1692021.

It is not an unprimeable number, because it can be changed into a prime (120296101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83587 + ... + 85013.

It is an arithmetic number, because the mean of its divisors is an integer number (4854724).

Almost surely, 2^120296100 is an apocalyptic number.

120296100 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 120296100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174770064).

120296100 is an abundant number, since it is smaller than the sum of its proper divisors (229244028).

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

120296100 is a wasteful number, since it uses less digits than its factorization.

120296100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 120296100 is about 10967.9578773808. The cubic root of 120296100 is about 493.6477735274.

The spelling of 120296100 in words is "one hundred twenty million, two hundred ninety-six thousand, one hundred".