221000221212012 has 144 divisors (see below), whose sum is σ = 629643680370432. Its totient is φ = 64769591399040.

The previous prime is 221000221211993. The next prime is 221000221212059. The reversal of 221000221212012 is 210212122000122.

It is a happy number.

221000221212012 is a `hidden beast` number, since 221 + 0 + 0 + 0 + 221 + 21 + 201 + 2 = 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 (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42712638 + ... + 47606405.

It is an arithmetic number, because the mean of its divisors is an integer number (4372525558128).

Almost surely, 2^{221000221212012} is an apocalyptic number.

221000221212012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221000221212012 is an abundant number, since it is smaller than the sum of its proper divisors (408643459158420).

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

221000221212012 is a wasteful number, since it uses less digits than its factorization.

221000221212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90319268 (or 90319263 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221000221212012 its reverse (210212122000122), we get a palindrome (431212343212134).

The spelling of 221000221212012 in words is "two hundred twenty-one trillion, two hundred twenty-one million, two hundred twelve thousand, twelve".