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12221121132 = 22331110399901
BaseRepresentation
bin10110110000110111…
…11000001001101100
31011112201012021112000
423120123320021230
5200012101334012
65340405012300
7611564546523
oct133033701154
934481167460
1012221121132
115201560210
1224509b4090
1311c9c0562c
1483d13b4ba
154b7d9cddc
hex2d86f826c

12221121132 has 96 divisors (see below), whose sum is σ = 34601548800. Its totient is φ = 3699432000.

The previous prime is 12221121079. The next prime is 12221121161. The reversal of 12221121132 is 23112112221.

12221121132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122211211322 (a number of 21 digits) contains 22 as substring.

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 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 31 ways as a sum of consecutive naturals, for example, 1229382 + ... + 1239282.

It is an arithmetic number, because the mean of its divisors is an integer number (360432800).

Almost surely, 212221121132 is an apocalyptic number.

12221121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300774400).

12221121132 is an abundant number, since it is smaller than the sum of its proper divisors (22380427668).

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

12221121132 is a wasteful number, since it uses less digits than its factorization.

12221121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10956 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12221121132 its reverse (23112112221), we get a palindrome (35333233353).

The spelling of 12221121132 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1039 1188 2078 3117 4156 6234 9351 9901 11429 12468 18702 19802 22858 28053 29703 34287 37404 39604 45716 56106 59406 68574 89109 102861 108911 112212 118812 137148 178218 205722 217822 267327 308583 326733 356436 411444 435644 534654 617166 653466 980199 1069308 1234332 1306932 1960398 2940597 3920796 5881194 10287139 11762388 20574278 30861417 41148556 61722834 92584251 113158529 123445668 185168502 226317058 277752753 339475587 370337004 452634116 555505506 678951174 1018426761 1111011012 1357902348 2036853522 3055280283 4073707044 6110560566 12221121132