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12221122122 = 23211151140849
BaseRepresentation
bin10110110000110111…
…11000011001001010
31011112201012022212200
423120123320121022
5200012101401442
65340405021030
7611564552436
oct133033703112
934481168780
1012221122122
115201560a30
1224509b4776
1311c9c05c11
1483d13b9c6
154b7d9d34c
hex2d86f864a

12221122122 has 48 divisors (see below), whose sum is σ = 28906113600. Its totient is φ = 3700828800.

The previous prime is 12221122103. The next prime is 12221122139. The reversal of 12221122122 is 22122112221.

It is a happy number.

12221122122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12221122095 and 12221122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278754 + ... + 319602.

It is an arithmetic number, because the mean of its divisors is an integer number (602210700).

Almost surely, 212221122122 is an apocalyptic number.

12221122122 is an abundant number, since it is smaller than the sum of its proper divisors (16684991478).

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

12221122122 is a wasteful number, since it uses less digits than its factorization.

12221122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42379 (or 42376 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 12221122122 its reverse (22122112221), we get a palindrome (34343234343).

Subtracting 12221122122 from its reverse (22122112221), we obtain a palindrome (9900990099).

The spelling of 12221122122 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1511 3022 4533 9066 13599 16621 27198 33242 40849 49863 81698 99726 122547 149589 245094 299178 367641 449339 735282 898678 1348017 2696034 4044051 8088102 61722839 123445678 185168517 370337034 555505551 678951229 1111011102 1357902458 2036853687 4073707374 6110561061 12221122122