2212292863200 has 576 divisors, whose sum is σ = 8591825088000. Its totient is φ = 483739361280.

The previous prime is 2212292863199. The next prime is 2212292863273. The reversal of 2212292863200 is 23682922122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53083971 + ... + 53125629.

It is an arithmetic number, because the mean of its divisors is an integer number (14916363000).

Almost surely, 2^{2212292863200} is an apocalyptic number.

2212292863200 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 2212292863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295912544000).

2212292863200 is an abundant number, since it is smaller than the sum of its proper divisors (6379532224800).

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

2212292863200 is a wasteful number, since it uses less digits than its factorization.

2212292863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41827 (or 41814 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 2212292863200 in words is "two trillion, two hundred twelve billion, two hundred ninety-two million, eight hundred sixty-three thousand, two hundred".