22130013312 has 144 divisors (see below), whose sum is σ = 69997371990. Its totient is φ = 6706022400.

The previous prime is 22130013281. The next prime is 22130013319. The reversal of 22130013312 is 21331003122.

22130013312 is a `hidden beast` number, since 221 + 300 + 133 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21778675776 + 351337536 = 147576^2 + 18744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (22130013319) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 60012 + ... + 218772.

Almost surely, 2^22130013312 is an apocalyptic number.

22130013312 is a gapful number since it is divisible by the number (22) 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 22130013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34998685995).

22130013312 is an abundant number, since it is smaller than the sum of its proper divisors (47867358678).

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

22130013312 is a wasteful number, since it uses less digits than its factorization.

22130013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158803 (or 158777 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22130013312 its reverse (21331003122), we get a palindrome (43461016434).

The spelling of 22130013312 in words is "twenty-two billion, one hundred thirty million, thirteen thousand, three hundred twelve".