20001122101200 has 480 divisors, whose sum is σ = 69124191840000. Its totient is φ = 4930498805760.

The previous prime is 20001122101199. The next prime is 20001122101231. The reversal of 20001122101200 is 210122110002.

It is a super-2 number, since 2×20001122101200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152093076 + ... + 152224524.

It is an arithmetic number, because the mean of its divisors is an integer number (144008733000).

Almost surely, 2^{20001122101200} is an apocalyptic number.

20001122101200 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 20001122101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34562095920000).

20001122101200 is an abundant number, since it is smaller than the sum of its proper divisors (49123069738800).

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

20001122101200 is a wasteful number, since it uses less digits than its factorization.

20001122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131679 (or 131668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20001122101200 its reverse (210122110002), we get a palindrome (20211244211202).

The spelling of 20001122101200 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred one thousand, two hundred".