12100113312 has 288 divisors, whose sum is σ = 38143429632. Its totient is φ = 3346914816.

The previous prime is 12100113253. The next prime is 12100113331. The reversal of 12100113312 is 21331100121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12100113291 and 12100113300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32970153 + ... + 32970519.

It is an arithmetic number, because the mean of its divisors is an integer number (132442464).

Almost surely, 2^12100113312 is an apocalyptic number.

12100113312 is a gapful number since it is divisible by the number (12) 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 12100113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071714816).

12100113312 is an abundant number, since it is smaller than the sum of its proper divisors (26043316320).

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

12100113312 is a wasteful number, since it uses less digits than its factorization.

12100113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12100113312 its reverse (21331100121), we get a palindrome (33431213433).

The spelling of 12100113312 in words is "twelve billion, one hundred million, one hundred thirteen thousand, three hundred twelve".