12123331100 has 72 divisors (see below), whose sum is σ = 27429911040. Its totient is φ = 4645105920.

The previous prime is 12123331097. The next prime is 12123331109. The reversal of 12123331100 is 113332121.

12123331100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123331109) 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, 351842 + ... + 384758.

Almost surely, 2^12123331100 is an apocalyptic number.

12123331100 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 12123331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714955520).

12123331100 is an abundant number, since it is smaller than the sum of its proper divisors (15306579940).

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

12123331100 is a wasteful number, since it uses less digits than its factorization.

12123331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33087 (or 33080 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12123331100 its reverse (113332121), we get a palindrome (12236663221).

The spelling of 12123331100 in words is "twelve billion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred".