2221022212000 has 48 divisors (see below), whose sum is σ = 5457051584712. Its totient is φ = 888408883200.

The previous prime is 2221022211977. The next prime is 2221022212009. The reversal of 2221022212000 is 2122201222.

2221022212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 628347923856 + 1592674288144 = 792684^2 + 1262012^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2221022212009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277623777 + ... + 277631776.

Almost surely, 2^{2221022212000} is an apocalyptic number.

2221022212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221022212000 is an abundant number, since it is smaller than the sum of its proper divisors (3236029372712).

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

2221022212000 is an equidigital number, since it uses as much as digits as its factorization.

2221022212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555255578 (or 555255560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2221022212000 its reverse (2122201222), we get a palindrome (2223144413222).

It can be divided in two parts, 22210222 and 12000, that added together give a palindrome (22222222).

The spelling of 2221022212000 in words is "two trillion, two hundred twenty-one billion, twenty-two million, two hundred twelve thousand".