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12311312216 = 2373714094217
BaseRepresentation
bin10110111011100111…
…11011011101011000
31011202222220110102112
423131303323131120
5200203143442331
65353350051452
7614041266350
oct133563733530
934688813375
1012311312216
1152484620a5
122477049b88
1312127c3538
1484b0d7b60
154c0c6632b
hex2ddcfb758

12311312216 has 64 divisors (see below), whose sum is σ = 27120052800. Its totient is φ = 5128814592.

The previous prime is 12311312207. The next prime is 12311312353. The reversal of 12311312216 is 61221311321.

It is a junction number, because it is equal to n+sod(n) for n = 12311312191 and 12311312200.

It is a congruent number.

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, 2917340 + ... + 2921556.

It is an arithmetic number, because the mean of its divisors is an integer number (423750825).

Almost surely, 212311312216 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 12311312216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560026400).

12311312216 is an abundant number, since it is smaller than the sum of its proper divisors (14808740584).

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

12311312216 is a wasteful number, since it uses less digits than its factorization.

12311312216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5672 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

Adding to 12311312216 its reverse (61221311321), we get a palindrome (73532623537).

The spelling of 12311312216 in words is "twelve billion, three hundred eleven million, three hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 1409 2072 2818 4217 5636 8434 9863 11272 16868 19726 29519 33736 39452 52133 59038 78904 104266 118076 156029 208532 236152 312058 364931 417064 624116 729862 1092203 1248232 1459724 2184406 2919448 4368812 5941753 8737624 11883506 23767012 41592271 47534024 83184542 166369084 219844861 332738168 439689722 879379444 1538914027 1758758888 3077828054 6155656108 12311312216