112220313211001 has 16 divisors (see below), whose sum is σ = 112888702626000. Its totient is φ = 111552852492288.

The previous prime is 112220313210989. The next prime is 112220313211037. The reversal of 112220313211001 is 100112313022211.

It can be written as a sum of positive squares in 8 ways, for example, as 92422939279225 + 19797373931776 = 9613685^2 + 4449424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112220313211001 is a prime.

It is a super-2 number, since 2×112220313211001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112220303211001) 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 15 ways as a sum of consecutive naturals, for example, 1422469565 + ... + 1422548453.

It is an arithmetic number, because the mean of its divisors is an integer number (7055543914125).

Almost surely, 2^{112220313211001} is an apocalyptic number.

It is an amenable number.

112220313211001 is a deficient number, since it is larger than the sum of its proper divisors (668389414999).

112220313211001 is a wasteful number, since it uses less digits than its factorization.

112220313211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84668.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 112220313211001 its reverse (100112313022211), we get a palindrome (212332626233212).

The spelling of 112220313211001 in words is "one hundred twelve trillion, two hundred twenty billion, three hundred thirteen million, two hundred eleven thousand, one".