12001331100 has 288 divisors, whose sum is σ = 39165993216. Its totient is φ = 2811801600.

The previous prime is 12001331099. The next prime is 12001331107. The reversal of 12001331100 is 113310021.

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 (12001331107) 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 95 ways as a sum of consecutive naturals, for example, 27716484 + ... + 27716916.

It is an arithmetic number, because the mean of its divisors is an integer number (135993032).

Almost surely, 2^12001331100 is an apocalyptic number.

12001331100 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 12001331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582996608).

12001331100 is an abundant number, since it is smaller than the sum of its proper divisors (27164662116).

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

12001331100 is a wasteful number, since it uses less digits than its factorization.

12001331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12001331100 its reverse (113310021), we get a palindrome (12114641121).

The spelling of 12001331100 in words is "twelve billion, one million, three hundred thirty-one thousand, one hundred".