2221113312000 has 1728 divisors, whose sum is σ = 9443170114560. Its totient is φ = 514584576000.

The previous prime is 2221113311987. The next prime is 2221113312013. The reversal of 2221113312000 is 2133111222.

2221113312000 is a `hidden beast` number, since 2 + 22 + 111 + 331 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2221113311987) and next prime (2221113312013).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1967327436 + ... + 1967328564.

It is an arithmetic number, because the mean of its divisors is an integer number (5464797520).

Almost surely, 2^{2221113312000} is an apocalyptic number.

2221113312000 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 2221113312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721585057280).

2221113312000 is an abundant number, since it is smaller than the sum of its proper divisors (7222056802560).

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

2221113312000 is a wasteful number, since it uses less digits than its factorization.

2221113312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2221113312000 its reverse (2133111222), we get a palindrome (2223246423222).

The spelling of 2221113312000 in words is "two trillion, two hundred twenty-one billion, one hundred thirteen million, three hundred twelve thousand".