112212112000221 has 6 divisors (see below), whose sum is σ = 162084161778110. Its totient is φ = 74808074666808.

The previous prime is 112212112000181. The next prime is 112212112000231. The reversal of 112212112000221 is 122000211212211.

112212112000221 is a `hidden beast` number, since 1 + 1 + 221 + 21 + 1 + 200 + 0 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56189806112196 + 56022305888025 = 7495986^2 + 7484805^2 .

It is not a de Polignac number, because 112212112000221 - 2²⁹ = 112211575129309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112212112000194 and 112212112000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112212112000231) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6234006222226 + ... + 6234006222243.

Almost surely, 2^{112212112000221} is an apocalyptic number.

It is an amenable number.

112212112000221 is a deficient number, since it is larger than the sum of its proper divisors (49872049777889).

112212112000221 is a wasteful number, since it uses less digits than its factorization.

112212112000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468012444475 (or 12468012444472 counting only the distinct ones).

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

Adding to 112212112000221 its reverse (122000211212211), we get a palindrome (234212323212432).

The spelling of 112212112000221 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.