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12004404324 = 22311743122399
BaseRepresentation
bin10110010111000010…
…01010110001100100
31010222121101220221120
423023201022301210
5144041111414244
65303104013540
7603323516223
oct131341126144
933877356846
1012004404324
11510019a710
1223b03012b0
131194047433
1481c446cba
154a3d40819
hex2cb84ac64

12004404324 has 48 divisors (see below), whose sum is σ = 30598041600. Its totient is φ = 3632772640.

The previous prime is 12004404317. The next prime is 12004404331. The reversal of 12004404324 is 42340440021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12004404317) and next prime (12004404331).

It is a junction number, because it is equal to n+sod(n) for n = 12004404294 and 12004404303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36877 + ... + 159275.

It is an arithmetic number, because the mean of its divisors is an integer number (637459200).

Almost surely, 212004404324 is an apocalyptic number.

It is an amenable number.

12004404324 is an abundant number, since it is smaller than the sum of its proper divisors (18593637276).

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

12004404324 is a wasteful number, since it uses less digits than its factorization.

12004404324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123160 (or 123158 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12004404324 its reverse (42340440021), we get a palindrome (54344844345).

It can be divided in two parts, 12004 and 404324, that added together give a triangular number (416328 = T912).

The spelling of 12004404324 in words is "twelve billion, four million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 743 1486 2229 2972 4458 8173 8916 16346 24519 32692 49038 98076 122399 244798 367197 489596 734394 1346389 1468788 2692778 4039167 5385556 8078334 16156668 90942457 181884914 272827371 363769828 545654742 1000367027 1091309484 2000734054 3001101081 4001468108 6002202162 12004404324