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12211323031332 = 2232312352969217
BaseRepresentation
bin1011000110110010101110…
…0100100100111100100100
31121020101120002122101012200
42301230223210210330210
53100032242144000312
641545445424014500
72400144653104455
oct261545344447444
947211502571180
1012211323031332
11398887a559037
121452777461430
136a76a48392a9
1430306181b12c
151629a04920dc
hexb1b2b924f24

12211323031332 has 54 divisors (see below), whose sum is σ = 31895357446134. Its totient is φ = 3939136450560.

The previous prime is 12211323031267. The next prime is 12211323031339. The reversal of 12211323031332 is 23313032311221.

12211323031332 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 323 + 0 + 3 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10329114643236 + 1882208388096 = 3213894^2 + 1371936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12211323031296 and 12211323031305.

It is not an unprimeable number, because it can be changed into a prime (12211323031339) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 176450013 + ... + 176519204.

It is an arithmetic number, because the mean of its divisors is an integer number (590654767521).

Almost surely, 212211323031332 is an apocalyptic number.

12211323031332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211323031332 is an abundant number, since it is smaller than the sum of its proper divisors (19684034414802).

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

12211323031332 is a wasteful number, since it uses less digits than its factorization.

12211323031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352969289 (or 352969253 counting only the distinct ones).

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

Adding to 12211323031332 its reverse (23313032311221), we get a palindrome (35524355342553).

The spelling of 12211323031332 in words is "twelve trillion, two hundred eleven billion, three hundred twenty-three million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 5766 8649 11532 17298 34596 352969217 705938434 1058907651 1411876868 2117815302 3176722953 4235630604 6353445906 10942045727 12706891812 21884091454 32826137181 43768182908 65652274362 98478411543 131304548724 196956823086 339203417537 393913646172 678406835074 1017610252611 1356813670148 2035220505222 3052830757833 4070441010444 6105661515666 12211323031332