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12221122033 = 311516414073
BaseRepresentation
bin10110110000110111…
…11000010111110001
31011112201012022202101
423120123320113301
5200012101401113
65340405020401
7611564552251
oct133033702761
934481168671
1012221122033
11520156095a
1224509b4701
1311c9c05b73
1483d13b961
154b7d9d2dd
hex2d86f85f1

12221122033 has 16 divisors (see below), whose sum is σ = 12721830912. Its totient is φ = 11727360000.

The previous prime is 12221121947. The next prime is 12221122037. The reversal of 12221122033 is 33022112221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221122033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12221122033.

It is not an unprimeable number, because it can be changed into a prime (12221122037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2998485 + ... + 3002557.

It is an arithmetic number, because the mean of its divisors is an integer number (795114432).

Almost surely, 212221122033 is an apocalyptic number.

It is an amenable number.

12221122033 is a deficient number, since it is larger than the sum of its proper divisors (500708879).

12221122033 is a wasteful number, since it uses less digits than its factorization.

12221122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12221122033 its reverse (33022112221), we get a palindrome (45243234254).

The spelling of 12221122033 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, thirty-three".

Divisors: 1 31 151 641 4073 4681 19871 96791 126263 615023 2610793 3000521 19065713 80934583 394229743 12221122033