111022211002212 has 144 divisors (see below), whose sum is σ = 292385806876800. Its totient is φ = 35489336440320.

The previous prime is 111022211002211. The next prime is 111022211002217. The reversal of 111022211002212 is 212200112220111.

111022211002212 is a `hidden beast` number, since 1 + 110 + 222 + 110 + 0 + 221 + 2 = 666.

It is a super-2 number, since 2×111022211002212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111022211002211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968055489 + ... + 968170167.

It is an arithmetic number, because the mean of its divisors is an integer number (2030456992200).

Almost surely, 2^{111022211002212} is an apocalyptic number.

111022211002212 is a gapful number since it is divisible by the number (12) 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 111022211002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146192903438400).

111022211002212 is an abundant number, since it is smaller than the sum of its proper divisors (181363595874588).

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

111022211002212 is a wasteful number, since it uses less digits than its factorization.

111022211002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125906 (or 125901 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111022211002212 its reverse (212200112220111), we get a palindrome (323222323222323).

The spelling of 111022211002212 in words is "one hundred eleven trillion, twenty-two billion, two hundred eleven million, two thousand, two hundred twelve".