222112121211222 has 768 divisors, whose sum is σ = 541053131673600. Its totient is φ = 60561787207680.

The previous prime is 222112121211187. The next prime is 222112121211223.

222112121211222 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 222112121211192 and 222112121211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112121211223) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 636424415904 + ... + 636424416252.

It is an arithmetic number, because the mean of its divisors is an integer number (704496265200).

Almost surely, 2^{222112121211222} is an apocalyptic number.

222112121211222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222112121211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270526565836800).

222112121211222 is an abundant number, since it is smaller than the sum of its proper divisors (318941010462378).

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

222112121211222 is a wasteful number, since it uses less digits than its factorization.

222112121211222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The spelling of 222112121211222 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty-two".