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12230322132 = 22371072116449
BaseRepresentation
bin10110110001111101…
…11110011111010100
31011120100111201220210
423120332332133110
5200021430302012
65341334125420
7612036010560
oct133076763724
934510451823
1012230322132
115206775046
122453ab0870
1311cbaa7602
148404546a0
154b8ab923c
hex2d8fbe7d4

12230322132 has 96 divisors (see below), whose sum is σ = 33080140800. Its totient is φ = 3444779520.

The previous prime is 12230322031. The next prime is 12230322191. The reversal of 12230322132 is 23122303221.

It is a happy number.

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 = 12230322099 and 12230322108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1893244 + ... + 1899692.

It is an arithmetic number, because the mean of its divisors is an integer number (344584800).

Almost surely, 212230322132 is an apocalyptic number.

12230322132 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 12230322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16540070400).

12230322132 is an abundant number, since it is smaller than the sum of its proper divisors (20849818668).

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

12230322132 is a wasteful number, since it uses less digits than its factorization.

12230322132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12230322132 its reverse (23122303221), we get a palindrome (35352625353).

The spelling of 12230322132 in words is "twelve billion, two hundred thirty million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 211 214 321 422 428 633 642 749 844 1266 1284 1477 1498 2247 2532 2954 2996 4431 4494 5908 6449 8862 8988 12898 17724 19347 22577 25796 38694 45143 45154 67731 77388 90286 90308 135429 135462 158039 180572 270858 270924 316078 474117 541716 632156 690043 948234 1360739 1380086 1896468 2070129 2721478 2760172 4082217 4140258 4830301 5442956 8164434 8280516 9525173 9660602 14490903 16328868 19050346 19321204 28575519 28981806 38100692 57151038 57963612 114302076 145599073 291198146 436797219 582396292 873594438 1019193511 1747188876 2038387022 3057580533 4076774044 6115161066 12230322132