2212320013200 has 720 divisors, whose sum is σ = 8621105475840. Its totient is φ = 520805376000.

The previous prime is 2212320013177. The next prime is 2212320013201. The reversal of 2212320013200 is 23100232122.

2212320013200 is a `hidden beast` number, since 2 + 21 + 2 + 320 + 0 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (2212320013201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190826604 + ... + 190838196.

Almost surely, 2^{2212320013200} is an apocalyptic number.

2212320013200 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 2212320013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310552737920).

2212320013200 is an abundant number, since it is smaller than the sum of its proper divisors (6408785462640).

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

2212320013200 is a wasteful number, since it uses less digits than its factorization.

2212320013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768 (or 11754 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2212320013200 its reverse (23100232122), we get a palindrome (2235420245322).

The spelling of 2212320013200 in words is "two trillion, two hundred twelve billion, three hundred twenty million, thirteen thousand, two hundred".