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121331123321112 = 233219666171331377
BaseRepresentation
bin11011100101100110011010…
…100000010111100100011000
3120220121010211121011000102100
4123211212122200113210120
5111400342120032233422
61110014425405203400
734361612225551215
oct3345463240274430
9526533747130370
10121331123321112
1135729271023191
121173694b860560
135291625543b43
1421d6659d12b0c
15e0617aae57ac
hex6e599a817918

121331123321112 has 96 divisors (see below), whose sum is σ = 345905584455600. Its totient is φ = 38314487642112.

The previous prime is 121331123321081. The next prime is 121331123321147. The reversal of 121331123321112 is 211123321133121.

121331123321112 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 311 + 2 + 332 + 1 + 1 + 12 = 666.

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

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, 90466368 + ... + 91797744.

Almost surely, 2121331123321112 is an apocalyptic number.

121331123321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121331123321112 is an abundant number, since it is smaller than the sum of its proper divisors (224574461134488).

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

121331123321112 is a wasteful number, since it uses less digits than its factorization.

121331123321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398025 (or 1398018 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 121331123321112 its reverse (211123321133121), we get a palindrome (332454444454233).

The spelling of 121331123321112 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 66617 133234 199851 266468 399702 532936 599553 799404 1199106 1265723 1331377 1598808 2398212 2531446 2662754 3797169 3994131 4796424 5062892 5325508 7594338 7988262 10125784 10651016 11391507 11982393 15188676 15976524 22783014 23964786 25296163 30377352 31953048 45566028 47929572 50592326 75888489 91132056 95859144 101184652 151776978 202369304 227665467 303553956 455330934 607107912 910661868 1821323736 88692341609 177384683218 266077024827 354769366436 532154049654 709538732872 798231074481 1064308099308 1596462148962 1685154490571 2128616198616 3192924297924 3370308981142 5055463471713 6385848595848 6740617962284 10110926943426 13481235924568 15166390415139 20221853886852 30332780830278 40443707773704 60665561660556 121331123321112