201122322000000 has 448 divisors, whose sum is σ = 674666698530720. Its totient is φ = 53079552000000.

The previous prime is 201122321999983. The next prime is 201122322000001. The reversal of 201122322000000 is 223221102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (201122322000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 581827215 + ... + 582172785.

Almost surely, 2^{201122322000000} is an apocalyptic number.

201122322000000 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 201122322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337333349265360).

201122322000000 is an abundant number, since it is smaller than the sum of its proper divisors (473544376530720).

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

201122322000000 is an frugal number, since it uses more digits than its factorization.

201122322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345715 (or 345678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201122322000000 its reverse (223221102), we get a palindrome (201122545221102).

The spelling of 201122322000000 in words is "two hundred one trillion, one hundred twenty-two billion, three hundred twenty-two million", and thus it is an aban number.