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12119245181199 = 341340928139987
BaseRepresentation
bin1011000001011011101101…
…0011011101000100001111
31120220120220000220221120000
42300112323103131010033
53042030203231244244
641435300540055343
72360405123226012
oct260267323350417
946816800827500
1012119245181199
113952819a58432
12143895a834553
1369babc3b2cc0
142dc80899b379
151603b19c6169
hexb05bb4dd10f

12119245181199 has 40 divisors (see below), whose sum is σ = 19544347265520. Its totient is φ = 7439762058624.

The previous prime is 12119245181177. The next prime is 12119245181227. The reversal of 12119245181199 is 99118154291121.

It is a happy number.

12119245181199 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 9 + 2 + 4 + 518 + 119 + 9 = 666.

It is not a de Polignac number, because 12119245181199 - 220 = 12119244132623 is a prime.

It is a super-2 number, since 2×121192451811992 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12119245181399) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 13639317 + ... + 14500670.

It is an arithmetic number, because the mean of its divisors is an integer number (488608681638).

Almost surely, 212119245181199 is an apocalyptic number.

12119245181199 is a deficient number, since it is larger than the sum of its proper divisors (7425102084321).

12119245181199 is a wasteful number, since it uses less digits than its factorization.

12119245181199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28140421 (or 28140412 counting only the distinct ones).

The product of its digits is 466560, while the sum is 54.

The spelling of 12119245181199 in words is "twelve trillion, one hundred nineteen billion, two hundred forty-five million, one hundred eighty-one thousand, one hundred ninety-nine".

Divisors: 1 3 9 13 27 39 81 117 351 409 1053 1227 3681 5317 11043 15951 33129 47853 143559 430677 28139987 84419961 253259883 365819831 759779649 1097459493 2279338947 3292378479 9877135437 11509254683 29631406311 34527764049 103583292147 149620310879 310749876441 448860932637 932249629323 1346582797911 4039748393733 12119245181199