12201000012112 has 80 divisors (see below), whose sum is σ = 24724117555200. Its totient is φ = 5825858088960.

The previous prime is 12201000012079. The next prime is 12201000012169. The reversal of 12201000012112 is 21121000010221.

It is a junction number, because it is equal to n+sod(n) for n = 12201000012092 and 12201000012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73936158 + ... + 74100994.

It is an arithmetic number, because the mean of its divisors is an integer number (309051469440).

Almost surely, 2^{12201000012112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201000012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362058777600).

12201000012112 is an abundant number, since it is smaller than the sum of its proper divisors (12523117543088).

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

12201000012112 is a wasteful number, since it uses less digits than its factorization.

12201000012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166844 (or 166838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12201000012112 its reverse (21121000010221), we get a palindrome (33322000022333).

The spelling of 12201000012112 in words is "twelve trillion, two hundred one billion, twelve thousand, one hundred twelve".