82123212231 has 32 divisors (see below), whose sum is σ = 123417676800. Its totient is φ = 53960165280.

The previous prime is 82123212229. The next prime is 82123212253. The reversal of 82123212231 is 13221232128.

82123212231 is a `hidden beast` number, since 8 + 212 + 3 + 212 + 231 = 666.

It is not a de Polignac number, because 82123212231 - 2¹ = 82123212229 is a prime.

It is a super-2 number, since 2×82123212231² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82123212195 and 82123212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82123212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8807790 + ... + 8817108.

It is an arithmetic number, because the mean of its divisors is an integer number (3856802400).

Almost surely, 2^82123212231 is an apocalyptic number.

82123212231 is a deficient number, since it is larger than the sum of its proper divisors (41294464569).

82123212231 is a wasteful number, since it uses less digits than its factorization.

82123212231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13996 (or 13990 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 82123212231 its reverse (13221232128), we get a palindrome (95344444359).

The spelling of 82123212231 in words is "eighty-two billion, one hundred twenty-three million, two hundred twelve thousand, two hundred thirty-one".