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12012131141320 = 2351035083957349
BaseRepresentation
bin1010111011001100101011…
…0011110100011011001000
31120112100102001221221012211
42232303022303310123020
53033301321033010240
641314144042314504
72346563544012322
oct256631263643310
946470361857184
1012012131141320
113911352967932
1214200464b8a34
1369197ba7c50b
142d7566bb6612
1515c6e2e47bea
hexaeccacf46c8

12012131141320 has 64 divisors (see below), whose sum is σ = 27290708640000. Its totient is φ = 4758026842368.

The previous prime is 12012131141287. The next prime is 12012131141359. The reversal of 12012131141320 is 2314113121021.

It is a super-2 number, since 2×120121311413202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12012131141291 and 12012131141300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209428006 + ... + 209485354.

It is an arithmetic number, because the mean of its divisors is an integer number (426417322500).

Almost surely, 212012131141320 is an apocalyptic number.

12012131141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012131141320 is an abundant number, since it is smaller than the sum of its proper divisors (15278577498680).

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

12012131141320 is a wasteful number, since it uses less digits than its factorization.

12012131141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108302 (or 108298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12012131141320 its reverse (2314113121021), we get a palindrome (14326244262341).

The spelling of 12012131141320 in words is "twelve trillion, twelve billion, one hundred thirty-one million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 50839 57349 101678 114698 203356 229396 254195 286745 406712 458792 508390 573490 1016780 1146980 2033560 2293960 5236417 5906947 10472834 11813894 20945668 23627788 26182085 29534735 41891336 47255576 52364170 59069470 104728340 118138940 209456680 236277880 2915565811 5831131622 11662263244 14577829055 23324526488 29155658110 58311316220 116622632440 300303278533 600606557066 1201213114132 1501516392665 2402426228264 3003032785330 6006065570660 12012131141320