2200123111300 has 144 divisors (see below), whose sum is σ = 4948292820240. Its totient is φ = 848517120000.

The previous prime is 2200123111211. The next prime is 2200123111391. The reversal of 2200123111300 is 31113210022.

It can be written as a sum of positive squares in 24 ways, for example, as 1579229542276 + 620893569024 = 1256674^2 + 787968^2 .

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, 179200762 + ... + 179213038.

It is an arithmetic number, because the mean of its divisors is an integer number (34363144585).

Almost surely, 2^{2200123111300} is an apocalyptic number.

2200123111300 is a gapful number since it is divisible by the number (20) 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 2200123111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474146410120).

2200123111300 is an abundant number, since it is smaller than the sum of its proper divisors (2748169708940).

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

2200123111300 is a wasteful number, since it uses less digits than its factorization.

2200123111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12842 (or 12835 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2200123111300 its reverse (31113210022), we get a palindrome (2231236321322).

The spelling of 2200123111300 in words is "two trillion, two hundred billion, one hundred twenty-three million, one hundred eleven thousand, three hundred".