12100111112000 has 112 divisors (see below), whose sum is σ = 29989198146960. Its totient is φ = 4836285440000.

The previous prime is 12100111111987. The next prime is 12100111112027. The reversal of 12100111112000 is 21111100121.

It can be written as a sum of positive squares in 8 ways, for example, as 309073731136 + 11791037380864 = 555944^2 + 3433808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9725300 + ... + 10898700.

Almost surely, 2^{12100111112000} is an apocalyptic number.

12100111112000 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 12100111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994599073480).

12100111112000 is an abundant number, since it is smaller than the sum of its proper divisors (17889087034960).

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

12100111112000 is a wasteful number, since it uses less digits than its factorization.

12100111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174717 (or 1174697 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12100111112000 its reverse (21111100121), we get a palindrome (12121222212121).

The spelling of 12100111112000 in words is "twelve trillion, one hundred billion, one hundred eleven million, one hundred twelve thousand".