201202212222000 has 1280 divisors, whose sum is σ = 818269027430400. Its totient is φ = 46811681280000.

The previous prime is 201202212221957. The next prime is 201202212222007. The reversal of 201202212222000 is 222212202102.

201202212222000 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 221 + 222 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201202212222007) by changing a digit.

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, 2876707030 + ... + 2876776970.

It is an arithmetic number, because the mean of its divisors is an integer number (639272677680).

Almost surely, 2^{201202212222000} is an apocalyptic number.

201202212222000 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 201202212222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409134513715200).

201202212222000 is an abundant number, since it is smaller than the sum of its proper divisors (617066815208400).

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

201202212222000 is a wasteful number, since it uses less digits than its factorization.

201202212222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70180 (or 70158 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201202212222000 its reverse (222212202102), we get a palindrome (201424424424102).

The spelling of 201202212222000 in words is "two hundred one trillion, two hundred two billion, two hundred twelve million, two hundred twenty-two thousand".