20110122000000 has 672 divisors, whose sum is σ = 72477144546300. Its totient is φ = 5352192000000.

The previous prime is 20110121999971. The next prime is 20110122000013. The reversal of 20110122000000 is 22101102.

It can be written as a sum of positive squares in 14 ways, for example, as 14563870917696 + 5546251082304 = 3816264^2 + 2355048^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14561999310 + ... + 14562000690.

Almost surely, 2^{20110122000000} is an apocalyptic number.

20110122000000 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 20110122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238572273150).

20110122000000 is an abundant number, since it is smaller than the sum of its proper divisors (52367022546300).

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

20110122000000 is an frugal number, since it uses more digits than its factorization.

20110122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20110122000000 its reverse (22101102), we get a palindrome (20110144101102).

The spelling of 20110122000000 in words is "twenty trillion, one hundred ten billion, one hundred twenty-two million", and thus it is an aban number.