12232112100 has 144 divisors (see below), whose sum is σ = 38307964800. Its totient is φ = 2995660800.

The previous prime is 12232112093. The next prime is 12232112107. The reversal of 12232112100 is 121123221.

It is an interprime number because it is at equal distance from previous prime (12232112093) and next prime (12232112107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12232112100.

It is not an unprimeable number, because it can be changed into a prime (12232112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768220 + ... + 783980.

Almost surely, 2^12232112100 is an apocalyptic number.

12232112100 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 12232112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19153982400).

12232112100 is an abundant number, since it is smaller than the sum of its proper divisors (26075852700).

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

12232112100 is a wasteful number, since it uses less digits than its factorization.

12232112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15990 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12232112100 its reverse (121123221), we get a palindrome (12353235321).

It can be divided in two parts, 122321 and 12100, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 12232112100 in words is "twelve billion, two hundred thirty-two million, one hundred twelve thousand, one hundred".