2012220212000 has 192 divisors, whose sum is σ = 5054140675584. Its totient is φ = 786994790400.

The previous prime is 2012220211997. The next prime is 2012220212003. The reversal of 2012220212000 is 2120222102.

It is an interprime number because it is at equal distance from previous prime (2012220211997) and next prime (2012220212003).

It is not an unprimeable number, because it can be changed into a prime (2012220212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216759359 + ... + 216768641.

It is an arithmetic number, because the mean of its divisors is an integer number (26323649352).

Almost surely, 2^{2012220212000} is an apocalyptic number.

2012220212000 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 2012220212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527070337792).

2012220212000 is an abundant number, since it is smaller than the sum of its proper divisors (3041920463584).

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

2012220212000 is a wasteful number, since it uses less digits than its factorization.

2012220212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2012220212000 its reverse (2120222102), we get a palindrome (2014340434102).

The spelling of 2012220212000 in words is "two trillion, twelve billion, two hundred twenty million, two hundred twelve thousand".