22261101312 has 144 divisors (see below), whose sum is σ = 60111914240. Its totient is φ = 7312896000.

The previous prime is 22261101293. The next prime is 22261101323. The reversal of 22261101312 is 21310116222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16118862 + ... + 16120242.

Almost surely, 2^22261101312 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 22261101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30055957120).

22261101312 is an abundant number, since it is smaller than the sum of its proper divisors (37850812928).

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

22261101312 is a wasteful number, since it uses less digits than its factorization.

22261101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1676 counting only the distinct ones).

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

Adding to 22261101312 its reverse (21310116222), we get a palindrome (43571217534).

The spelling of 22261101312 in words is "twenty-two billion, two hundred sixty-one million, one hundred one thousand, three hundred twelve".