20001122112000 has 320 divisors, whose sum is σ = 67157199128448. Its totient is φ = 5280819200000.

The previous prime is 20001122111963. The next prime is 20001122112029. The reversal of 20001122112000 is 21122110002.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

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, 18876295 + ... + 19907705.

Almost surely, 2^{20001122112000} is an apocalyptic number.

20001122112000 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 20001122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33578599564224).

20001122112000 is an abundant number, since it is smaller than the sum of its proper divisors (47156077016448).

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

20001122112000 is a wasteful number, since it uses less digits than its factorization.

20001122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031548 (or 1031522 counting only the distinct ones).

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

Adding to 20001122112000 its reverse (21122110002), we get a palindrome (20022244222002).

The spelling of 20001122112000 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred twelve thousand".