2200312321312 has 576 divisors, whose sum is σ = 5673203141760. Its totient is φ = 833985331200.

The previous prime is 2200312321307. The next prime is 2200312321321. The reversal of 2200312321312 is 2131232130022.

It is a super-2 number, since 2×2200312321312² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2891343012 + ... + 2891343772.

It is an arithmetic number, because the mean of its divisors is an integer number (9849311010).

Almost surely, 2^{2200312321312} 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 2200312321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836601570880).

2200312321312 is an abundant number, since it is smaller than the sum of its proper divisors (3472890820448).

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

2200312321312 is a wasteful number, since it uses less digits than its factorization.

2200312321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2200312321312 its reverse (2131232130022), we get a palindrome (4331544451334).

The spelling of 2200312321312 in words is "two trillion, two hundred billion, three hundred twelve million, three hundred twenty-one thousand, three hundred twelve".