22012122221000 has 128 divisors (see below), whose sum is σ = 51716278504800. Its totient is φ = 8769345868800.

The previous prime is 22012122220937. The next prime is 22012122221003. The reversal of 22012122221000 is 12222121022.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1142081217124 + 20870041003876 = 1068682^2 + 4568374^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22012122221000.

It is not an unprimeable number, because it can be changed into a prime (22012122221003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488994494 + ... + 489039506.

Almost surely, 2^{22012122221000} is an apocalyptic number.

22012122221000 is a gapful number since it is divisible by the number (20) 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 22012122221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25858139252400).

22012122221000 is an abundant number, since it is smaller than the sum of its proper divisors (29704156283800).

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

22012122221000 is a wasteful number, since it uses less digits than its factorization.

22012122221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46996 (or 46982 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22012122221000 its reverse (12222121022), we get a palindrome (22024344342022).

The spelling of 22012122221000 in words is "twenty-two trillion, twelve billion, one hundred twenty-two million, two hundred twenty-one thousand".