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12213321122232 = 23324871747199379
BaseRepresentation
bin1011000110111010001010…
…1010101100000110111000
31121020120201100101220122100
42301232202222230012320
53100100340201402412
641550420002023400
72400245324435406
oct261564252540670
947216640356570
1012213321122232
11398970541132a
121453034647b60
136a79327956b9
143031b0d3a476
15162a6aac8edc
hexb1ba2aac1b8

12213321122232 has 96 divisors (see below), whose sum is σ = 33164805398400. Its totient is φ = 4060401556032.

The previous prime is 12213321122203. The next prime is 12213321122269. The reversal of 12213321122232 is 23222112331221.

12213321122232 is a `hidden beast` number, since 1 + 2 + 213 + 3 + 211 + 2 + 2 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12213321122196 and 12213321122205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61157119 + ... + 61356497.

It is an arithmetic number, because the mean of its divisors is an integer number (345466722900).

Almost surely, 212213321122232 is an apocalyptic number.

12213321122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12213321122232 is an abundant number, since it is smaller than the sum of its proper divisors (20951484276168).

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

12213321122232 is a wasteful number, since it uses less digits than its factorization.

12213321122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201625 (or 201618 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12213321122232 its reverse (23222112331221), we get a palindrome (35435433453453).

The spelling of 12213321122232 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 487 974 1461 1747 1948 2922 3494 3896 4383 5241 5844 6988 8766 10482 11688 13976 15723 17532 20964 31446 35064 41928 62892 125784 199379 398758 598137 797516 850789 1196274 1595032 1701578 1794411 2392548 2552367 3403156 3588822 4785096 5104734 6806312 7177644 7657101 10209468 14355288 15314202 20418936 30628404 61256808 97097573 194195146 291292719 348315113 388390292 582585438 696630226 776780584 873878157 1044945339 1165170876 1393260452 1747756314 2089890678 2330341752 2786520904 3134836017 3495512628 4179781356 6269672034 6991025256 8359562712 12539344068 25078688136 169629460031 339258920062 508888380093 678517840124 1017776760186 1357035680248 1526665140279 2035553520372 3053330280558 4071107040744 6106660561116 12213321122232