Search a number
-
+
12332211211312 = 242322213658391
BaseRepresentation
bin1011001101110101000100…
…0100011000110000110000
31121122221121000002012120221
42303131101010120300300
53104022332032230222
642121201205142424
72411654455506046
oct263352104306060
947587530065527
1012332211211312
113a250748019a3
1214720946baa14
136b5bcba3bc35
14308c4cac4396
15165bc83dc0c7
hexb3751118c30

12332211211312 has 60 divisors (see below), whose sum is σ = 24989006319984. Its totient is φ = 5895339936640.

The previous prime is 12332211211279. The next prime is 12332211211339. The reversal of 12332211211312 is 21311211223321.

It is a super-2 number, since 2×123322112113122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18401637 + ... + 19060027.

Almost surely, 212332211211312 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 12332211211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494503159992).

12332211211312 is an abundant number, since it is smaller than the sum of its proper divisors (12656795108672).

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

12332211211312 is a wasteful number, since it uses less digits than its factorization.

12332211211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660658 (or 660629 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

Adding to 12332211211312 its reverse (21311211223321), we get a palindrome (33643422434633).

The spelling of 12332211211312 in words is "twelve trillion, three hundred thirty-two billion, two hundred eleven million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 2213 4232 4426 8464 8852 17704 35408 50899 101798 203596 407192 658391 814384 1170677 1316782 2341354 2633564 4682708 5267128 9365416 10534256 15142993 18730832 30285986 60571972 121143944 242287888 348288839 696577678 1393155356 1457019283 2786310712 2914038566 5572621424 5828077132 11656154264 23312308528 33511443509 67022887018 134045774036 268091548072 536183096144 770763200707 1541526401414 3083052802828 6166105605656 12332211211312