22300110011322 has 192 divisors, whose sum is σ = 58720579706880. Its totient is φ = 6023637532800.

The previous prime is 22300110011317. The next prime is 22300110011327. The reversal of 22300110011322 is 22311001100322.

22300110011322 is a `hidden beast` number, since 2 + 230 + 0 + 1 + 100 + 11 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (22300110011317) and next prime (22300110011327).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22300110011295 and 22300110011304.

It is not an unprimeable number, because it can be changed into a prime (22300110011327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36964579 + ... + 37563017.

It is an arithmetic number, because the mean of its divisors is an integer number (305836352640).

Almost surely, 2^{22300110011322} is an apocalyptic number.

22300110011322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300110011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29360289853440).

22300110011322 is an abundant number, since it is smaller than the sum of its proper divisors (36420469695558).

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

22300110011322 is a wasteful number, since it uses less digits than its factorization.

22300110011322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598969 (or 598966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22300110011322 its reverse (22311001100322), we get a palindrome (44611111111644).

The spelling of 22300110011322 in words is "twenty-two trillion, three hundred billion, one hundred ten million, eleven thousand, three hundred twenty-two".