22322222112312 has 192 divisors, whose sum is σ = 61604914176000. Its totient is φ = 7300725696000.

The previous prime is 22322222112287. The next prime is 22322222112319. The reversal of 22322222112312 is 21321122222322.

22322222112312 is a `hidden beast` number, since 2 + 2 + 322 + 2 + 2 + 21 + 1 + 2 + 312 = 666.

It is a super-3 number, since 3×22322222112312³ (a number of 41 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22322222112319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958887889 + ... + 958911167.

It is an arithmetic number, because the mean of its divisors is an integer number (320858928000).

Almost surely, 2^{22322222112312} 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 22322222112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30802457088000).

22322222112312 is an abundant number, since it is smaller than the sum of its proper divisors (39282692063688).

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

22322222112312 is a wasteful number, since it uses less digits than its factorization.

22322222112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24522 (or 24515 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22322222112312 its reverse (21321122222322), we get a palindrome (43643344334634).

The spelling of 22322222112312 in words is "twenty-two trillion, three hundred twenty-two billion, two hundred twenty-two million, one hundred twelve thousand, three hundred twelve".