220233312222312 has 128 divisors (see below), whose sum is σ = 565408282982400. Its totient is φ = 71458992191232.

The previous prime is 220233312222307. The next prime is 220233312222353. The reversal of 220233312222312 is 213222213332022.

It is a happy number.

It is a super-2 number, since 2×220233312222312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220233312222312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555106418 + ... + 1555248030.

It is an arithmetic number, because the mean of its divisors is an integer number (4417252210800).

Almost surely, 2^{220233312222312} 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 220233312222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282704141491200).

220233312222312 is an abundant number, since it is smaller than the sum of its proper divisors (345174970760088).

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

220233312222312 is a wasteful number, since it uses less digits than its factorization.

220233312222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152447 (or 152443 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 220233312222312 its reverse (213222213332022), we get a palindrome (433455525554334).

The spelling of 220233312222312 in words is "two hundred twenty trillion, two hundred thirty-three billion, three hundred twelve million, two hundred twenty-two thousand, three hundred twelve".