22312010112 has 128 divisors (see below), whose sum is σ = 67821546240. Its totient is φ = 6366517248.

The previous prime is 22312010069. The next prime is 22312010143. The reversal of 22312010112 is 21101021322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22312010112³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22312010091 and 22312010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2217958 + ... + 2227994.

It is an arithmetic number, because the mean of its divisors is an integer number (529855830).

Almost surely, 2^22312010112 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 22312010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33910773120).

22312010112 is an abundant number, since it is smaller than the sum of its proper divisors (45509536128).

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

22312010112 is a wasteful number, since it uses less digits than its factorization.

22312010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22312010112 its reverse (21101021322), we get a palindrome (43413031434).

The spelling of 22312010112 in words is "twenty-two billion, three hundred twelve million, ten thousand, one hundred twelve".