Search a number
-
+
12320221122 = 23311157132109
BaseRepresentation
bin10110111100101011…
…11010011111000010
31011210121200002011000
423132111322133002
5200212434033442
65354305032430
7614210103006
oct133625723702
934717602130
1012320221122
115252497530
12247a025716
1312145c2591
1484c376706
154c1925d4c
hex2de57a7c2

12320221122 has 64 divisors (see below), whose sum is σ = 30057667200. Its totient is φ = 3709592640.

The previous prime is 12320221103. The next prime is 12320221163. The reversal of 12320221122 is 22112202321.

12320221122 is a `hidden beast` number, since 1 + 2 + 320 + 221 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12320221095 and 12320221104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27204 + ... + 159312.

It is an arithmetic number, because the mean of its divisors is an integer number (469651050).

Almost surely, 212320221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028833600).

12320221122 is an abundant number, since it is smaller than the sum of its proper divisors (17737446078).

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

12320221122 is a wasteful number, since it uses less digits than its factorization.

12320221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132288 (or 132282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12320221122 its reverse (22112202321), we get a palindrome (34432423443).

The spelling of 12320221122 in words is "twelve billion, three hundred twenty million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 297 314 471 594 942 1413 1727 2826 3454 4239 5181 8478 10362 15543 31086 46629 93258 132109 264218 396327 792654 1188981 1453199 2377962 2906398 3566943 4359597 7133886 8719194 13078791 20741113 26157582 39236373 41482226 62223339 78472746 124446678 186670017 228152243 373340034 456304486 560010051 684456729 1120020102 1368913458 2053370187 4106740374 6160110561 12320221122