12100112112000 has 256 divisors, whose sum is σ = 43758407347200. Its totient is φ = 2933360384000.

The previous prime is 12100112111957. The next prime is 12100112112001. The reversal of 12100112112000 is 21121100121.

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 (12100112112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10930440 + ... + 11986439.

It is an arithmetic number, because the mean of its divisors is an integer number (170931278700).

Almost surely, 2^{12100112112000} is an apocalyptic number.

12100112112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100112112000 is an abundant number, since it is smaller than the sum of its proper divisors (31658295235200).

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

12100112112000 is a wasteful number, since it uses less digits than its factorization.

12100112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22916922 (or 22916900 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12100112112000 its reverse (21121100121), we get a palindrome (12121233212121).

The spelling of 12100112112000 in words is "twelve trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand".