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131212013122212 = 223112939238737423
BaseRepresentation
bin11101110101011000101101…
…011011101011001010100100
3122012120202010210112020101120
4131311120231123223022210
5114144234200324402322
61143021544445253540
736431520001233441
oct3565305533531244
9565522123466346
10131212013122212
113889877a7988a0
12128719258642b0
13582a31694a419
1424589a3d5c9c8
1510281d3c47a5c
hex77562d6eb2a4

131212013122212 has 96 divisors (see below), whose sum is σ = 345599369902080. Its totient is φ = 38380349374080.

The previous prime is 131212013122153. The next prime is 131212013122231. The reversal of 131212013122212 is 212221310212131.

131212013122212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 10648533 + ... + 19385955.

It is an arithmetic number, because the mean of its divisors is an integer number (3599993436480).

Almost surely, 2131212013122212 is an apocalyptic number.

131212013122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212013122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172799684951040).

131212013122212 is an abundant number, since it is smaller than the sum of its proper divisors (214387356779868).

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

131212013122212 is a wasteful number, since it uses less digits than its factorization.

131212013122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741393 (or 8741391 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131212013122212 its reverse (212221310212131), we get a palindrome (343433323334343).

The spelling of 131212013122212 in words is "one hundred thirty-one trillion, two hundred twelve billion, thirteen million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 3923 7846 11769 15692 23538 43153 47076 86306 113767 129459 172612 227534 258918 341301 455068 517836 682602 1251437 1365204 2502874 3754311 5005748 7508622 8737423 15017244 17474846 26212269 34949692 52424538 96111653 104849076 192223306 253385267 288334959 384446612 506770534 576669918 760155801 1013541068 1153339836 1520311602 2787237937 3040623204 5574475874 8361713811 11148951748 16723427622 33446855244 34276910429 68553820858 102830731287 137107641716 205661462574 377046014719 411322925148 754092029438 994030402441 1131138044157 1508184058876 1988060804882 2262276088314 2982091207323 3976121609764 4524552176628 5964182414646 10934334426851 11928364829292 21868668853702 32803003280553 43737337707404 65606006561106 131212013122212