2212310113200 has 480 divisors, whose sum is σ = 8789808487680. Its totient is φ = 523843891200.

The previous prime is 2212310113151. The next prime is 2212310113207. The reversal of 2212310113200 is 23110132122.

2212310113200 is a `hidden beast` number, since 2 + 21 + 2 + 310 + 11 + 320 + 0 = 666.

2212310113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2212310113207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4891864 + ... + 5324936.

It is an arithmetic number, because the mean of its divisors is an integer number (18312101016).

Almost surely, 2^{2212310113200} is an apocalyptic number.

2212310113200 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 2212310113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394904243840).

2212310113200 is an abundant number, since it is smaller than the sum of its proper divisors (6577498374480).

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

2212310113200 is a wasteful number, since it uses less digits than its factorization.

2212310113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433154 (or 433137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2212310113200 its reverse (23110132122), we get a palindrome (2235420245322).

The spelling of 2212310113200 in words is "two trillion, two hundred twelve billion, three hundred ten million, one hundred thirteen thousand, two hundred".