2200112122000 has 80 divisors (see below), whose sum is σ = 5729092033392. Its totient is φ = 812349081600.

The previous prime is 2200112121997. The next prime is 2200112122001. The reversal of 2200112122000 is 2212110022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 684928380816 + 1515183741184 = 827604^2 + 1230928^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (2200112122001) 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, 42283849 + ... + 42335848.

Almost surely, 2^{2200112122000} is an apocalyptic number.

2200112122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200112122000 is an abundant number, since it is smaller than the sum of its proper divisors (3528979911392).

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

2200112122000 is a wasteful number, since it uses less digits than its factorization.

2200112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84619733 (or 84619717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2200112122000 its reverse (2212110022), we get a palindrome (2202324232022).

The spelling of 2200112122000 in words is "two trillion, two hundred billion, one hundred twelve million, one hundred twenty-two thousand".