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12342363220 = 225111391732333
BaseRepresentation
bin10110111111010100…
…11000010001010100
31011212011100000101201
423133222120101110
5200234121110340
65400415402244
7614566233145
oct133752302124
934764300351
1012342363220
115263a40190
122485523384
131219075a05
1485129bacc
154c384b79a
hex2dfa98454

12342363220 has 96 divisors (see below), whose sum is σ = 28655544960. Its totient is φ = 4428188160.

The previous prime is 12342363211. The next prime is 12342363221. The reversal of 12342363220 is 2236324321.

12342363220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342363221) by changing a digit.

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, 5289174 + ... + 5291506.

It is an arithmetic number, because the mean of its divisors is an integer number (298495260).

Almost surely, 212342363220 is an apocalyptic number.

12342363220 is a gapful number since it is divisible by the number (10) 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 12342363220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14327772480).

12342363220 is an abundant number, since it is smaller than the sum of its proper divisors (16313181740).

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

12342363220 is a wasteful number, since it uses less digits than its factorization.

12342363220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12342363220 its reverse (2236324321), we get a palindrome (14578687541).

The spelling of 12342363220 in words is "twelve billion, three hundred forty-two million, three hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 173 220 278 346 556 692 695 865 1390 1529 1730 1903 2333 2780 3058 3460 3806 4666 6116 7612 7645 9332 9515 11665 15290 19030 23330 24047 25663 30580 38060 46660 48094 51326 96188 102652 120235 128315 240470 256630 264517 324287 403609 480940 513260 529034 648574 807218 1058068 1297148 1322585 1614436 1621435 2018045 2645170 3242870 3567157 4036090 4439699 5290340 6485740 7134314 8072180 8879398 14268628 17758796 17835785 22198495 35671570 44396990 56101651 71343140 88793980 112203302 224406604 280508255 561016510 617118161 1122033020 1234236322 2468472644 3085590805 6171181610 12342363220