201122221212000 has 1536 divisors, whose sum is σ = 820227708518400. Its totient is φ = 47450573568000.

The previous prime is 201122221211929. The next prime is 201122221212061. The reversal of 201122221212000 is 212122221102.

It is a happy number.

201122221212000 is a `hidden beast` number, since 20 + 11 + 222 + 212 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 255 ways as a sum of consecutive naturals, for example, 9994633939 + ... + 9994654061.

It is an arithmetic number, because the mean of its divisors is an integer number (534002414400).

Almost surely, 2^{201122221212000} is an apocalyptic number.

201122221212000 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 201122221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410113854259200).

201122221212000 is an abundant number, since it is smaller than the sum of its proper divisors (619105487306400).

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

201122221212000 is a wasteful number, since it uses less digits than its factorization.

201122221212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20394 (or 20370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201122221212000 its reverse (212122221102), we get a palindrome (201334343433102).

The spelling of 201122221212000 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand".