31223311112112 has 640 divisors, whose sum is σ = 102819910533120. Its totient is φ = 7954842255360.

The previous prime is 31223311112107. The next prime is 31223311112131. The reversal of 31223311112112 is 21121111332213.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 11341557328 + ... + 11341560080.

It is an arithmetic number, because the mean of its divisors is an integer number (160656110208).

Almost surely, 2^{31223311112112} 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 31223311112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51409955266560).

31223311112112 is an abundant number, since it is smaller than the sum of its proper divisors (71596599421008).

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

31223311112112 is a wasteful number, since it uses less digits than its factorization.

31223311112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3595 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 31223311112112 its reverse (21121111332213), we get a palindrome (52344422444325).

The spelling of 31223311112112 in words is "thirty-one trillion, two hundred twenty-three billion, three hundred eleven million, one hundred twelve thousand, one hundred twelve".