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12243204324 = 223313351599
BaseRepresentation
bin10110110011100000…
…00111100011100100
31011121020202012222000
423121300013203210
5200033230014244
65342514205300
7612253343151
oct133160074344
934536665860
1012243204324
115212a7368a
122458283830
131201668000
14842049228
154b9cb1169
hex2d9c078e4

12243204324 has 96 divisors (see below), whose sum is σ = 34386240000. Its totient is φ = 3767066784.

The previous prime is 12243204319. The next prime is 12243204341. The reversal of 12243204324 is 42340234221.

12243204324 is a `hidden beast` number, since 1 + 224 + 3 + 2 + 0 + 432 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 211477 + ... + 263075.

It is an arithmetic number, because the mean of its divisors is an integer number (358190000).

Almost surely, 212243204324 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 12243204324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193120000).

12243204324 is an abundant number, since it is smaller than the sum of its proper divisors (22143035676).

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

12243204324 is a wasteful number, since it uses less digits than its factorization.

12243204324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51651 (or 51617 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12243204324 its reverse (42340234221), we get a palindrome (54583438545).

The spelling of 12243204324 in words is "twelve billion, two hundred forty-three million, two hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2197 3042 4394 4563 6084 6591 8788 9126 13182 18252 19773 26364 39546 51599 59319 79092 103198 118638 154797 206396 237276 309594 464391 619188 670787 928782 1341574 1393173 1857564 2012361 2683148 2786346 4024722 5572692 6037083 8049444 8720231 12074166 17440462 18111249 24148332 26160693 34880924 36222498 52321386 72444996 78482079 104642772 113363003 156964158 226726006 235446237 313928316 340089009 453452012 470892474 680178018 941784948 1020267027 1360356036 2040534054 3060801081 4081068108 6121602162 12243204324