221101212120012 has 288 divisors, whose sum is σ = 672058034653824. Its totient is φ = 59960118067200.

The previous prime is 221101212119987. The next prime is 221101212120029. The reversal of 221101212120012 is 210021212101122.

221101212120012 is a `hidden beast` number, since 221 + 101 + 212 + 120 + 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 95 ways as a sum of consecutive naturals, for example, 6970168312 + ... + 6970200032.

It is an arithmetic number, because the mean of its divisors is an integer number (2333534842548).

Almost surely, 2^{221101212120012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221101212120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336029017326912).

221101212120012 is an abundant number, since it is smaller than the sum of its proper divisors (450956822533812).

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

221101212120012 is a wasteful number, since it uses less digits than its factorization.

221101212120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50049 (or 50044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221101212120012 its reverse (210021212101122), we get a palindrome (431122424221134).

The spelling of 221101212120012 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twelve million, one hundred twenty thousand, twelve".