201222010112000 has 192 divisors, whose sum is σ = 502229102094720. Its totient is φ = 80472520704000.

The previous prime is 201222010111961. The next prime is 201222010112003. The reversal of 201222010112000 is 211010222102.

It is not an unprimeable number, because it can be changed into a prime (201222010112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307315045 + ... + 1307468955.

It is an arithmetic number, because the mean of its divisors is an integer number (2615776573410).

Almost surely, 2^{201222010112000} is an apocalyptic number.

201222010112000 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 201222010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251114551047360).

201222010112000 is an abundant number, since it is smaller than the sum of its proper divisors (301007091982720).

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

201222010112000 is an equidigital number, since it uses as much as digits as its factorization.

201222010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159055 (or 159025 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201222010112000 its reverse (211010222102), we get a palindrome (201433020334102).

The spelling of 201222010112000 in words is "two hundred one trillion, two hundred twenty-two billion, ten million, one hundred twelve thousand".