22000122231012 has 144 divisors (see below), whose sum is σ = 56656257486192. Its totient is φ = 7196179415040.

The previous prime is 22000122230987. The next prime is 22000122231013. The reversal of 22000122231012 is 21013222100022.

22000122231012 is a `hidden beast` number, since 220 + 0 + 0 + 122 + 2 + 310 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 781993564416 + 21218128666596 = 884304^2 + 4606314^2 .

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 (22000122231013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1887282688 + ... + 1887294344.

It is an arithmetic number, because the mean of its divisors is an integer number (393446232543).

Almost surely, 2^{22000122231012} 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 22000122231012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28328128743096).

22000122231012 is an abundant number, since it is smaller than the sum of its proper divisors (34656135255180).

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

22000122231012 is a wasteful number, since it uses less digits than its factorization.

22000122231012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 13673 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22000122231012 its reverse (21013222100022), we get a palindrome (43013344331034).

The spelling of 22000122231012 in words is "twenty-two trillion, one hundred twenty-two million, two hundred thirty-one thousand, twelve".