222100001220000 has 240 divisors, whose sum is σ = 728941374342720. Its totient is φ = 59193421056000.

The previous prime is 222100001219947. The next prime is 222100001220043. The reversal of 222100001220000 is 22100001222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105941956 + ... + 108018044.

It is an arithmetic number, because the mean of its divisors is an integer number (3037255726428).

Almost surely, 2^{222100001220000} is an apocalyptic number.

222100001220000 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 222100001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364470687171360).

222100001220000 is an abundant number, since it is smaller than the sum of its proper divisors (506841373122720).

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

222100001220000 is a wasteful number, since it uses less digits than its factorization.

222100001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077905 (or 2077882 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222100001220000 its reverse (22100001222), we get a palindrome (222122101221222).

The spelling of 222100001220000 in words is "two hundred twenty-two trillion, one hundred billion, one million, two hundred twenty thousand".