12201011000112 has 160 divisors (see below), whose sum is σ = 34438070108160. Its totient is φ = 3691537480960.

The previous prime is 12201011000083. The next prime is 12201011000161. The reversal of 12201011000112 is 21100011010221.

It is a super-3 number, since 3×12201011000112³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940669833 + ... + 1940676119.

It is an arithmetic number, because the mean of its divisors is an integer number (215237938176).

Almost surely, 2^{12201011000112} is an apocalyptic number.

12201011000112 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 12201011000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17219035054080).

12201011000112 is an abundant number, since it is smaller than the sum of its proper divisors (22237059108048).

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

12201011000112 is a wasteful number, since it uses less digits than its factorization.

12201011000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11431 (or 11425 counting only the distinct ones).

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

Adding to 12201011000112 its reverse (21100011010221), we get a palindrome (33301022010333).

The spelling of 12201011000112 in words is "twelve trillion, two hundred one billion, eleven million, one hundred twelve", and thus it is an aban number.