820112211005 has 16 divisors (see below), whose sum is σ = 1045581357744. Its totient is φ = 615388738560.

The previous prime is 820112210999. The next prime is 820112211007. The reversal of 820112211005 is 500112211028.

It can be written as a sum of positive squares in 8 ways, for example, as 332968237156 + 487143973849 = 577034^2 + 697957^2 .

It is not a de Polignac number, because 820112211005 - 2¹⁸ = 820111948861 is a prime.

It is a super-2 number, since 2×820112211005² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820112211007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16439906 + ... + 16489715.

It is an arithmetic number, because the mean of its divisors is an integer number (65348834859).

Almost surely, 2^820112211005 is an apocalyptic number.

820112211005 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

820112211005 is a deficient number, since it is larger than the sum of its proper divisors (225469146739).

820112211005 is a wasteful number, since it uses less digits than its factorization.

820112211005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32929936.

The product of its (nonzero) digits is 320, while the sum is 23.

Adding to 820112211005 its sum of digits (23), we get a palindrome (820112211028).

The spelling of 820112211005 in words is "eight hundred twenty billion, one hundred twelve million, two hundred eleven thousand, five".