12200012112100 has 144 divisors (see below), whose sum is σ = 28243861933392. Its totient is φ = 4558139965440.

The previous prime is 12200012112077. The next prime is 12200012112191. The reversal of 12200012112100 is 121121000221.

It can be written as a sum of positive squares in 24 ways, for example, as 8886563709156 + 3313448402944 = 2981034^2 + 1820288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1406012962 + ... + 1406021638.

It is an arithmetic number, because the mean of its divisors is an integer number (196137930093).

Almost surely, 2^{12200012112100} is an apocalyptic number.

12200012112100 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 12200012112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14121930966696).

12200012112100 is an abundant number, since it is smaller than the sum of its proper divisors (16043849821292).

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

12200012112100 is a wasteful number, since it uses less digits than its factorization.

12200012112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14882 (or 14875 counting only the distinct ones).

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

Adding to 12200012112100 its reverse (121121000221), we get a palindrome (12321133112321).

The spelling of 12200012112100 in words is "twelve trillion, two hundred billion, twelve million, one hundred twelve thousand, one hundred".