82222100122228 has 48 divisors (see below), whose sum is σ = 160498401706944. Its totient is φ = 36542742819840.

The previous prime is 82222100122199. The next prime is 82222100122249.

82222100122228 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×82222100122228⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82222100122193 and 82222100122202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115698675 + ... + 116407162.

It is an arithmetic number, because the mean of its divisors is an integer number (3343716702228).

Almost surely, 2^{82222100122228} is an apocalyptic number.

It is an amenable number.

82222100122228 is a deficient number, since it is larger than the sum of its proper divisors (78276301584716).

82222100122228 is a wasteful number, since it uses less digits than its factorization.

82222100122228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232106032 (or 232106030 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

It can be divided in two parts, 82222100 and 122228, that added together give a palindrome (82344328).

The spelling of 82222100122228 in words is "eighty-two trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, two hundred twenty-eight".