12200121002112 has 128 divisors (see below), whose sum is σ = 33415828205760. Its totient is φ = 3941904125952.

The previous prime is 12200121002099. The next prime is 12200121002117. The reversal of 12200121002112 is 21120012100221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12200121002112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200121002091 and 12200121002100.

It is not an unprimeable number, because it can be changed into a prime (12200121002117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921963 + ... + 5300394.

Almost surely, 2^{12200121002112} is an apocalyptic number.

12200121002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200121002112 is an abundant number, since it is smaller than the sum of its proper divisors (21215707203648).

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

12200121002112 is an equidigital number, since it uses as much as digits as its factorization.

12200121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222510 (or 7222498 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200121002112 its reverse (21120012100221), we get a palindrome (33320133102333).

The spelling of 12200121002112 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, two thousand, one hundred twelve".