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12222220332 = 22372233129153
BaseRepresentation
bin10110110001000000…
…00100100000101100
31011112210021010100010
423120200010200230
5200012342022312
65340444333220
7611610105300
oct133040044054
934483233303
1012222220332
115202141043
122451244210
1311ca1cba4a
1483d345d00
154b801893c
hex2d880482c

12222220332 has 144 divisors (see below), whose sum is σ = 35734874112. Its totient is φ = 3232373760.

The previous prime is 12222220291. The next prime is 12222220337. The reversal of 12222220332 is 23302222221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12222220299 and 12222220308.

It is not an unprimeable number, because it can be changed into a prime (12222220337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404668 + ... + 433820.

It is an arithmetic number, because the mean of its divisors is an integer number (248158848).

Almost surely, 212222220332 is an apocalyptic number.

12222220332 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 12222220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867437056).

12222220332 is an abundant number, since it is smaller than the sum of its proper divisors (23512653780).

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

12222220332 is a wasteful number, since it uses less digits than its factorization.

12222220332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29228 (or 29219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12222220332 its reverse (23302222221), we get a palindrome (35524442553).

The spelling of 12222220332 in words is "twelve billion, two hundred twenty-two million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 49 62 69 84 92 93 98 124 138 147 161 186 196 217 276 294 322 372 434 483 588 644 651 713 868 966 1127 1302 1426 1519 1932 2139 2254 2604 2852 3038 3381 4278 4508 4557 4991 6076 6762 8556 9114 9982 13524 14973 18228 19964 29153 29946 34937 58306 59892 69874 87459 104811 116612 139748 174918 204071 209622 349836 408142 419244 612213 670519 816284 903743 1224426 1341038 1428497 1807486 2011557 2448852 2682076 2711229 2856994 3614972 4023114 4285491 4693633 5422458 5713988 6326201 8046228 8570982 9387266 10844916 12652402 14080899 17141964 18774532 18978603 20786089 25304804 28161798 32855431 37957206 41572178 44283407 56323596 62358267 65710862 75914412 83144356 88566814 98566293 124716534 131421724 132850221 145502623 177133628 197132586 249433068 265700442 291005246 394265172 436507869 531400884 582010492 873015738 1018518361 1746031476 2037036722 3055555083 4074073444 6111110166 12222220332