2221211120000 has 160 divisors (see below), whose sum is σ = 5533725609720. Its totient is φ = 887816192000.

The previous prime is 2221211119993. The next prime is 2221211120027. The reversal of 2221211120000 is 211121222.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2221211120000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114150272 + ... + 114169728.

Almost surely, 2^{2221211120000} is an apocalyptic number.

2221211120000 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 2221211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766862804860).

2221211120000 is an abundant number, since it is smaller than the sum of its proper divisors (3312514489720).

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

2221211120000 is an equidigital number, since it uses as much as digits as its factorization.

2221211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20918 (or 20891 counting only the distinct ones).

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

Adding to 2221211120000 its reverse (211121222), we get a palindrome (2221422241222).

The spelling of 2221211120000 in words is "two trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand".