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12215432424 = 23313197129023
BaseRepresentation
bin10110110000001100…
…01011010011101000
31011112022111021002010
423120012023103220
5200004122314144
65340043035520
7611465314416
oct133006132350
934468437063
1012215432424
1151a93251a8
12244ab0bba0
1311c8993230
1483c49a2b6
154b76275b9
hex2d818b4e8

12215432424 has 128 divisors (see below), whose sum is σ = 35107430400. Its totient is φ = 3510501120.

The previous prime is 12215432413. The next prime is 12215432473. The reversal of 12215432424 is 42423451221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12215432391 and 12215432400.

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, 406377 + ... + 435399.

It is an arithmetic number, because the mean of its divisors is an integer number (274276800).

Almost surely, 212215432424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12215432424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17553715200).

12215432424 is an abundant number, since it is smaller than the sum of its proper divisors (22891997976).

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

12215432424 is a wasteful number, since it uses less digits than its factorization.

12215432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29135 (or 29131 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 12215432424 its reverse (42423451221), we get a palindrome (54638883645).

The spelling of 12215432424 in words is "twelve billion, two hundred fifteen million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 71 76 78 104 114 142 152 156 213 228 247 284 312 426 456 494 568 741 852 923 988 1349 1482 1704 1846 1976 2698 2769 2964 3692 4047 5396 5538 5928 7384 8094 10792 11076 16188 17537 22152 29023 32376 35074 52611 58046 70148 87069 105222 116092 140296 174138 210444 232184 348276 377299 420888 551437 696552 754598 1102874 1131897 1509196 1654311 2060633 2205748 2263794 3018392 3308622 4121266 4411496 4527588 6181899 6617244 7168681 8242532 9055176 12363798 13234488 14337362 16485064 21506043 24727596 26788229 28674724 39152027 43012086 49455192 53576458 57349448 78304054 80364687 86024172 107152916 117456081 156608108 160729374 172048344 214305832 234912162 313216216 321458748 469824324 508976351 642917496 939648648 1017952702 1526929053 2035905404 3053858106 4071810808 6107716212 12215432424