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12012540376518 = 2331120223131947
BaseRepresentation
bin1010111011001110001100…
…1100111011010111000110
31120112101110121000020101000
42232303203030323113012
53033303140314022033
641314252421514130
72346606643320003
oct256634314732706
946471417006330
1012012540376518
113911542970340
12142013b572946
13691a157a5516
142d75a52a28aa
1515c718d32a13
hexaece333b5c6

12012540376518 has 32 divisors (see below), whose sum is σ = 29121310005120. Its totient is φ = 3640163750280.

The previous prime is 12012540376481. The next prime is 12012540376547. The reversal of 12012540376518 is 81567304521021.

12012540376518 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 540 + 37 + 65 + 18 = 666.

It is a super-3 number, since 3×120125403765183 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10111565380 + ... + 10111566567.

It is an arithmetic number, because the mean of its divisors is an integer number (910040937660).

Almost surely, 212012540376518 is an apocalyptic number.

12012540376518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12012540376518 is an abundant number, since it is smaller than the sum of its proper divisors (17108769628602).

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

12012540376518 is a wasteful number, since it uses less digits than its factorization.

12012540376518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223131969 (or 20223131963 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 12012540376518 its reverse (81567304521021), we get a palindrome (93579844897539).

The spelling of 12012540376518 in words is "twelve trillion, twelve billion, five hundred forty million, three hundred seventy-six thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 20223131947 40446263894 60669395841 121338791682 182008187523 222454451417 364016375046 444908902834 546024562569 667363354251 1092049125138 1334726708502 2002090062753 4004180125506 6006270188259 12012540376518