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12131123331222 = 2327976269158329
BaseRepresentation
bin1011000010000111111101…
…0011000000000010010110
31120221201112211202111011100
42300201333103000002112
53042224020033044342
641444543334050530
72361305354645010
oct260417723000226
946851484674140
1012131123331222
113957864954345
12143b1147a9a46
1369cc6322383c
142dd21433b1b0
151608596c7e4c
hexb087f4c0096

12131123331222 has 96 divisors (see below), whose sum is σ = 30353684961600. Its totient is φ = 3429734068224.

The previous prime is 12131123331203. The next prime is 12131123331269. The reversal of 12131123331222 is 22213332113121.

12131123331222 is a `hidden beast` number, since 1 + 2 + 1 + 311 + 2 + 33 + 312 + 2 + 2 = 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 47 ways as a sum of consecutive naturals, for example, 76540554 + ... + 76698882.

It is an arithmetic number, because the mean of its divisors is an integer number (316184218350).

Almost surely, 212131123331222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131123331222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176842480800).

12131123331222 is an abundant number, since it is smaller than the sum of its proper divisors (18222561630378).

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

12131123331222 is a wasteful number, since it uses less digits than its factorization.

12131123331222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164710 (or 164707 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 12131123331222 its reverse (22213332113121), we get a palindrome (34344455444343).

The spelling of 12131123331222 in words is "twelve trillion, one hundred thirty-one billion, one hundred twenty-three million, three hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 6269 12222 12538 18807 37614 43883 56421 87766 112842 131649 158329 263298 316658 394947 474987 608093 789894 949974 1108303 1216186 1424961 1824279 2216606 2849922 3324909 3648558 4256651 5472837 6649818 8513302 9974727 10945674 12769953 15357913 19949454 25539906 30715826 38309859 46073739 76619718 92147478 107505391 138221217 215010782 276442434 322516173 645032346 967548519 992564501 1935097038 1985129002 2977693503 5955387006 6947951507 8933080509 13895903014 17866161018 20843854521 41687709042 62531563563 96278756597 125063127126 192557513194 288836269791 577672539582 673951296179 866508809373 1347902592358 1733017618746 2021853888537 4043707777074 6065561665611 12131123331222