111322122312 has 128 divisors (see below), whose sum is σ = 298585647360. Its totient is φ = 34463662080.

The previous prime is 111322122281. The next prime is 111322122323. The reversal of 111322122312 is 213221223111.

It is a super-2 number, since 2×111322122312² (a number of 23 digits) contains 22 as substring.

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

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, 12308512 + ... + 12317552.

It is an arithmetic number, because the mean of its divisors is an integer number (2332700370).

Almost surely, 2^111322122312 is an apocalyptic number.

111322122312 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 111322122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149292823680).

111322122312 is an abundant number, since it is smaller than the sum of its proper divisors (187263525048).

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

111322122312 is a wasteful number, since it uses less digits than its factorization.

111322122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463 (or 9459 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 111322122312 its reverse (213221223111), we get a palindrome (324543345423).

The spelling of 111322122312 in words is "one hundred eleven billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred twelve".