12120122100 has 72 divisors (see below), whose sum is σ = 35081504640. Its totient is φ = 3230746880.

The previous prime is 12120122099. The next prime is 12120122101. The reversal of 12120122100 is 122102121.

12120122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12120122099) and next prime (12120122101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929224 + ... + 942176.

It is an arithmetic number, because the mean of its divisors is an integer number (487243120).

Almost surely, 2^12120122100 is an apocalyptic number.

12120122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120122100 is an abundant number, since it is smaller than the sum of its proper divisors (22961382540).

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

12120122100 is a wasteful number, since it uses less digits than its factorization.

12120122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16089 (or 16082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120122100 its reverse (122102121), we get a palindrome (12242224221).

The spelling of 12120122100 in words is "twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".