221012002200012 has 48 divisors (see below), whose sum is σ = 519162999264000. Its totient is φ = 73175205933760.

The previous prime is 221012002200001. The next prime is 221012002200091. The reversal of 221012002200012 is 210002200210122.

It is a super-3 number, since 3×221012002200012³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221012002199964 and 221012002200000.

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 15 ways as a sum of consecutive naturals, for example, 132216289 + ... + 133877447.

It is an arithmetic number, because the mean of its divisors is an integer number (10815895818000).

Almost surely, 2^{221012002200012} is an apocalyptic number.

It is an amenable number.

221012002200012 is an abundant number, since it is smaller than the sum of its proper divisors (298150997063988).

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

221012002200012 is a wasteful number, since it uses less digits than its factorization.

221012002200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735726 (or 1735724 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221012002200012 its reverse (210002200210122), we get a palindrome (431014202410134).

The spelling of 221012002200012 in words is "two hundred twenty-one trillion, twelve billion, two million, two hundred thousand, twelve".