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12434134512 = 2432319956597
BaseRepresentation
bin10111001010010000…
…11101010111110000
31012002120000110221110
423211020131113300
5200431114301022
65413454353320
7620062254012
oct134510352760
935076013843
1012434134512
115300821328
1224b01bb840
131232097c57
1485d54a1b2
154cb92800c
hex2e521d5f0

12434134512 has 80 divisors (see below), whose sum is σ = 33687129600. Its totient is φ = 3944514816.

The previous prime is 12434134477. The next prime is 12434134549. The reversal of 12434134512 is 21543143421.

12434134512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12434134512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191398 + ... + 247994.

It is an arithmetic number, because the mean of its divisors is an integer number (421089120).

Almost surely, 212434134512 is an apocalyptic number.

12434134512 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 12434134512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16843564800).

12434134512 is an abundant number, since it is smaller than the sum of its proper divisors (21252995088).

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

12434134512 is a wasteful number, since it uses less digits than its factorization.

12434134512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56830 (or 56824 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 12434134512 its reverse (21543143421), we get a palindrome (33977277933).

The spelling of 12434134512 in words is "twelve billion, four hundred thirty-four million, one hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 199 276 368 398 552 597 796 1104 1194 1592 2388 3184 4577 4776 9154 9552 13731 18308 27462 36616 54924 56597 73232 109848 113194 169791 219696 226388 339582 452776 679164 905552 1301731 1358328 2603462 2716656 3905193 5206924 7810386 10413848 11262803 15620772 20827696 22525606 31241544 33788409 45051212 62483088 67576818 90102424 135153636 180204848 259044469 270307272 518088938 540614544 777133407 1036177876 1554266814 2072355752 3108533628 4144711504 6217067256 12434134512