222112100000 has 216 divisors, whose sum is σ = 635818797180. Its totient is φ = 76151040000.

The previous prime is 222112099961. The next prime is 222112100039. The reversal of 222112100000 is 1211222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222112099961) and next prime (222112100039).

It can be written as a sum of positive squares in 6 ways, for example, as 20931144976 + 201180955024 = 144676^2 + 448532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4877336 + ... + 4922664.

Almost surely, 2^222112100000 is an apocalyptic number.

222112100000 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 222112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317909398590).

222112100000 is an abundant number, since it is smaller than the sum of its proper divisors (413706697180).

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

222112100000 is an frugal number, since it uses more digits than its factorization.

222112100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45378 (or 45343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 222112100000 its reverse (1211222), we get a palindrome (222113311222).

The spelling of 222112100000 in words is "two hundred twenty-two billion, one hundred twelve million, one hundred thousand".