Search a number
-
+
12332132221112 = 2311433907834149
BaseRepresentation
bin1011001101110100110001…
…0111000100000010111000
31121122221101111110002101222
42303131030113010002320
53104022201322033422
642121145304131212
72411652506216654
oct263351427040270
947587344402358
1012332132221112
113a25034160440
121472072166b08
136b5bb8573382
14308c42401a64
15165bc14d7842
hexb374c5c40b8

12332132221112 has 64 divisors (see below), whose sum is σ = 25818076944000. Its totient is φ = 5473745907840.

The previous prime is 12332132221099. The next prime is 12332132221163. The reversal of 12332132221112 is 21112223123321.

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, 14367014 + ... + 15201162.

It is an arithmetic number, because the mean of its divisors is an integer number (403407452250).

Almost surely, 212332132221112 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 12332132221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909038472000).

12332132221112 is an abundant number, since it is smaller than the sum of its proper divisors (13485944722888).

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

12332132221112 is a wasteful number, since it uses less digits than its factorization.

12332132221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838116 (or 838112 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 12332132221112 its reverse (21112223123321), we get a palindrome (33444355344433).

The spelling of 12332132221112 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1892 3784 3907 7814 15628 31256 42977 85954 168001 171908 336002 343816 672004 834149 1344008 1668298 1848011 3336596 3696022 6673192 7392044 9175639 14784088 18351278 35868407 36702556 71736814 73405112 143473628 286947256 394552477 789104954 1578209908 3156419816 3259020143 6518040286 13036080572 26072161144 35849221573 71698443146 140137866149 143396886292 280275732298 286793772584 560551464596 1121102929192 1541516527639 3083033055278 6166066110556 12332132221112