112222121222211 has 192 divisors, whose sum is σ = 209952601033728. Its totient is φ = 51839948160000.

The previous prime is 112222121222207. The next prime is 112222121222293.

112222121222211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112222121222211 - 2² = 112222121222207 is a prime.

It is a super-2 number, since 2×112222121222211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112222121222411) 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 191 ways as a sum of consecutive naturals, for example, 122989776 + ... + 123898866.

It is an arithmetic number, because the mean of its divisors is an integer number (1093503130384).

Almost surely, 2^{112222121222211} is an apocalyptic number.

112222121222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112222121222211 is a deficient number, since it is larger than the sum of its proper divisors (97730479811517).

112222121222211 is a wasteful number, since it uses less digits than its factorization.

112222121222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909274 (or 909263 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The spelling of 112222121222211 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred eleven".