312223122200 has 192 divisors, whose sum is σ = 807269224320. Its totient is φ = 111348864000.

The previous prime is 312223122181. The next prime is 312223122203. The reversal of 312223122200 is 2221322213.

It is a happy number.

It is a super-2 number, since 2×312223122200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312223122203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34339655 + ... + 34348745.

It is an arithmetic number, because the mean of its divisors is an integer number (4204527210).

Almost surely, 2^312223122200 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 312223122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403634612160).

312223122200 is an abundant number, since it is smaller than the sum of its proper divisors (495046102120).

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

312223122200 is a wasteful number, since it uses less digits than its factorization.

312223122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312223122200 its reverse (2221322213), we get a palindrome (314444444413).

It can be divided in two parts, 31222 and 3122200, that multiplied together give a square (97481328400 = 312220²).

The spelling of 312223122200 in words is "three hundred twelve billion, two hundred twenty-three million, one hundred twenty-two thousand, two hundred".