221022002220012 has 144 divisors (see below), whose sum is σ = 711649790691840. Its totient is φ = 56306357024256.

The previous prime is 221022002219999. The next prime is 221022002220037. The reversal of 221022002220012 is 210022200220122.

221022002220012 is a `hidden beast` number, since 2 + 210 + 220 + 0 + 2 + 220 + 0 + 12 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357614328 + ... + 1357777119.

It is an arithmetic number, because the mean of its divisors is an integer number (4942012435360).

Almost surely, 2^{221022002220012} is an apocalyptic number.

It is an amenable number.

221022002220012 is an abundant number, since it is smaller than the sum of its proper divisors (490627788471828).

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

221022002220012 is a wasteful number, since it uses less digits than its factorization.

221022002220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715391500 (or 2715391495 counting only the distinct ones).

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

Adding to 221022002220012 its reverse (210022200220122), we get a palindrome (431044202440134).

The spelling of 221022002220012 in words is "two hundred twenty-one trillion, twenty-two billion, two million, two hundred twenty thousand, twelve".