221000220222012 has 768 divisors, whose sum is σ = 789818712883200. Its totient is φ = 51639821291520.

The previous prime is 221000220221999. The next prime is 221000220222053. The reversal of 221000220222012 is 210222022000122.

221000220222012 is a `hidden beast` number, since 2 + 210 + 0 + 0 + 220 + 2 + 220 + 12 = 666.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 4646449743 + ... + 4646497305.

It is an arithmetic number, because the mean of its divisors is an integer number (1028409782400).

Almost surely, 2^{221000220222012} is an apocalyptic number.

221000220222012 is a gapful number since it is divisible by the number (22) 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 221000220222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394909356441600).

221000220222012 is an abundant number, since it is smaller than the sum of its proper divisors (568818492661188).

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

221000220222012 is a wasteful number, since it uses less digits than its factorization.

221000220222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49063 (or 49055 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221000220222012 its reverse (210222022000122), we get a palindrome (431222242222134).

The spelling of 221000220222012 in words is "two hundred twenty-one trillion, two hundred twenty million, two hundred twenty-two thousand, twelve".