20011022212000 has 192 divisors, whose sum is σ = 52174367481600. Its totient is φ = 7526619724800.

The previous prime is 20011022211997. The next prime is 20011022212001. The reversal of 20011022212000 is 21222011002.

It is a happy number.

20011022212000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (20011022212001) 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, 3584686 + ... + 7271314.

It is an arithmetic number, because the mean of its divisors is an integer number (271741497300).

Almost surely, 2^{20011022212000} is an apocalyptic number.

20011022212000 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 20011022212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26087183740800).

20011022212000 is an abundant number, since it is smaller than the sum of its proper divisors (32163345269600).

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

20011022212000 is a wasteful number, since it uses less digits than its factorization.

20011022212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686736 (or 3686718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20011022212000 its reverse (21222011002), we get a palindrome (20032244223002).

The spelling of 20011022212000 in words is "twenty trillion, eleven billion, twenty-two million, two hundred twelve thousand".