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12213233316 = 22324756312821
BaseRepresentation
bin10110101111111011…
…10010011010100100
31011112011100112110200
423113331302122210
5200003041431231
65335523550500
7611440525134
oct132775623244
934464315420
1012213233316
1151a8062a59
12244a22b430
1311c83a329b
1483c086ac4
154b7340be6
hex2d7f726a4

12213233316 has 72 divisors (see below), whose sum is σ = 31587663744. Its totient is φ = 3977071680.

The previous prime is 12213233297. The next prime is 12213233317. The reversal of 12213233316 is 61333231221.

12213233316 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 323 + 331 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12213233316.

It is not an unprimeable number, because it can be changed into a prime (12213233317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946186 + ... + 959006.

It is an arithmetic number, because the mean of its divisors is an integer number (438717552).

Almost surely, 212213233316 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 12213233316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793831872).

12213233316 is an abundant number, since it is smaller than the sum of its proper divisors (19374430428).

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

12213233316 is a wasteful number, since it uses less digits than its factorization.

12213233316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13441 (or 13436 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 12213233316 its reverse (61333231221), we get a palindrome (73546464537).

The spelling of 12213233316 in words is "twelve billion, two hundred thirteen million, two hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 563 564 846 1126 1689 1692 2252 3378 5067 6756 10134 12821 20268 25642 26461 38463 51284 52922 76926 79383 105844 115389 153852 158766 230778 238149 317532 461556 476298 602587 952596 1205174 1807761 2410348 3615522 5423283 7218223 7231044 10846566 14436446 21654669 21693132 28872892 43309338 64964007 86618676 129928014 259856028 339256481 678512962 1017769443 1357025924 2035538886 3053308329 4071077772 6106616658 12213233316