222312013133200 has 120 divisors (see below), whose sum is σ = 535317047076456. Its totient is φ = 88723170816000.

The previous prime is 222312013133167. The next prime is 222312013133209. The reversal of 222312013133200 is 2331310213222.

It can be written as a sum of positive squares in 12 ways, for example, as 147420781756416 + 74891231376784 = 12141696^2 + 8653972^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (222312013133209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312610030 + ... + 313320370.

Almost surely, 2^{222312013133200} is an apocalyptic number.

222312013133200 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 222312013133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267658523538228).

222312013133200 is an abundant number, since it is smaller than the sum of its proper divisors (313005033943256).

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

222312013133200 is a wasteful number, since it uses less digits than its factorization.

222312013133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712133 (or 712122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 222312013133200 its reverse (2331310213222), we get a palindrome (224643323346422).

The spelling of 222312013133200 in words is "two hundred twenty-two trillion, three hundred twelve billion, thirteen million, one hundred thirty-three thousand, two hundred".