20121222101000 has 128 divisors (see below), whose sum is σ = 47350278799200. Its totient is φ = 8003023667200.

The previous prime is 20121222100963. The next prime is 20121222101009. The reversal of 20121222101000 is 10122212102.

It can be written as a sum of positive squares in 16 ways, for example, as 122420212996 + 19998801888004 = 349886^2 + 4472002^2 .

It is not an unprimeable number, because it can be changed into a prime (20121222101009) 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 31 ways as a sum of consecutive naturals, for example, 146164202 + ... + 146301798.

Almost surely, 2^{20121222101000} is an apocalyptic number.

20121222101000 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 20121222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675139399600).

20121222101000 is an abundant number, since it is smaller than the sum of its proper divisors (27229056698200).

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

20121222101000 is a wasteful number, since it uses less digits than its factorization.

20121222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138444 (or 138430 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121222101000 its reverse (10122212102), we get a palindrome (20131344313102).

The spelling of 20121222101000 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand".