83221211322 has 80 divisors (see below), whose sum is σ = 191719242792. Its totient is φ = 26965509120.

The previous prime is 83221211317. The next prime is 83221211371. The reversal of 83221211322 is 22311212238.

83221211322 is a `hidden beast` number, since 8 + 322 + 1 + 2 + 11 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61171634241 + 22049577081 = 247329^2 + 148491^2 .

It is a super-3 number, since 3×83221211322³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1817218 + ... + 1862450.

Almost surely, 2^83221211322 is an apocalyptic number.

83221211322 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 83221211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95859621396).

83221211322 is an abundant number, since it is smaller than the sum of its proper divisors (108498031470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83221211322 is a wasteful number, since it uses less digits than its factorization.

83221211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45565 (or 45556 counting only the distinct ones).

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

The spelling of 83221211322 in words is "eighty-three billion, two hundred twenty-one million, two hundred eleven thousand, three hundred twenty-two".