12233130312100 has 144 divisors (see below), whose sum is σ = 26921049442560. Its totient is φ = 4824545472000.

The previous prime is 12233130312089. The next prime is 12233130312107. The reversal of 12233130312100 is 121303133221.

It is not an unprimeable number, because it can be changed into a prime (12233130312107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3179912377 + ... + 3179916223.

It is an arithmetic number, because the mean of its divisors is an integer number (186951732240).

Almost surely, 2^{12233130312100} is an apocalyptic number.

12233130312100 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 12233130312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460524721280).

12233130312100 is an abundant number, since it is smaller than the sum of its proper divisors (14687919130460).

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

12233130312100 is a wasteful number, since it uses less digits than its factorization.

12233130312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12233130312100 its reverse (121303133221), we get a palindrome (12354433445321).

The spelling of 12233130312100 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty million, three hundred twelve thousand, one hundred".