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12344315412 = 223111334720731
BaseRepresentation
bin10110111111100011…
…10100111000010100
31011212022000012022010
423133301310320110
5200240121043122
65400525304220
7614621643522
oct133761647024
934768005263
1012344315412
115265053970
122486105070
1312195aa460
14851649312
154c3ad4e0c
hex2dfc74e14

12344315412 has 96 divisors (see below), whose sum is σ = 33938118144. Its totient is φ = 3442838400.

The previous prime is 12344315381. The next prime is 12344315437. The reversal of 12344315412 is 21451344321.

It is a self number, because there is not a number n which added to its sum of digits gives 12344315412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585087 + ... + 605817.

It is an arithmetic number, because the mean of its divisors is an integer number (353522064).

Almost surely, 212344315412 is an apocalyptic number.

12344315412 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 12344315412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969059072).

12344315412 is an abundant number, since it is smaller than the sum of its proper divisors (21593802732).

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

12344315412 is a wasteful number, since it uses less digits than its factorization.

12344315412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21109 (or 21107 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 12344315412 its reverse (21451344321), we get a palindrome (33795659733).

The spelling of 12344315412 in words is "twelve billion, three hundred forty-four million, three hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 347 429 572 694 858 1041 1388 1716 2082 3817 4164 4511 7634 9022 11451 13533 15268 18044 20731 22902 27066 41462 45804 49621 54132 62193 82924 99242 124386 148863 198484 228041 248772 269503 297726 456082 539006 595452 684123 808509 912164 1078012 1368246 1617018 2736492 2964533 3234036 5929066 7193657 8893599 11858132 14387314 17787198 21580971 28774628 35574396 43161942 79130227 86323884 93517541 158260454 187035082 237390681 280552623 316520908 374070164 474781362 561105246 949562724 1028692951 1122210492 2057385902 3086078853 4114771804 6172157706 12344315412