12002200101112 has 256 divisors, whose sum is σ = 25609492339200. Its totient is φ = 5236131962880.

The previous prime is 12002200101109. The next prime is 12002200101187. The reversal of 12002200101112 is 21110100220021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12002200101092 and 12002200101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16241136439 + ... + 16241137177.

It is an arithmetic number, because the mean of its divisors is an integer number (100037079450).

Almost surely, 2^{12002200101112} 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 12002200101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804746169600).

12002200101112 is an abundant number, since it is smaller than the sum of its proper divisors (13607292238088).

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

12002200101112 is a wasteful number, since it uses less digits than its factorization.

12002200101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1434 counting only the distinct ones).

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

Adding to 12002200101112 its reverse (21110100220021), we get a palindrome (33112300321133).

The spelling of 12002200101112 in words is "twelve trillion, two billion, two hundred million, one hundred one thousand, one hundred twelve".