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12334353015012 = 22372314474412053
BaseRepresentation
bin1011001101111101000010…
…1110101110000011100100
31121200011010021021002220220
42303133100232232003210
53104041223332440022
642122153515324340
72412061523522520
oct263372056560344
947604107232826
1012334353015012
113a25a737a27a6
121472591a506b0
136b61806a55c2
14308db3332d80
15165ca146085c
hexb37d0bae0e4

12334353015012 has 96 divisors (see below), whose sum is σ = 34345404936192. Its totient is φ = 3368548757376.

The previous prime is 12334353014927. The next prime is 12334353015067. The reversal of 12334353015012 is 21051035343321.

It is a super-2 number, since 2×123343530150122 (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 589578 + ... + 5001630.

It is an arithmetic number, because the mean of its divisors is an integer number (357764634752).

Almost surely, 212334353015012 is an apocalyptic number.

12334353015012 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 12334353015012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17172702468096).

12334353015012 is an abundant number, since it is smaller than the sum of its proper divisors (22011051921180).

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

12334353015012 is a wasteful number, since it uses less digits than its factorization.

12334353015012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413537 (or 4413535 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 12334353015012 its reverse (21051035343321), we get a palindrome (33385388358333).

The spelling of 12334353015012 in words is "twelve trillion, three hundred thirty-four billion, three hundred fifty-three million, fifteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1447 1932 2894 4341 5788 8682 10129 17364 20258 30387 33281 40516 60774 66562 99843 121548 133124 199686 232967 399372 465934 698901 931868 1397802 2795604 4412053 8824106 13236159 17648212 26472318 30884371 52944636 61768742 92653113 101477219 123537484 185306226 202954438 304431657 370612452 405908876 608863314 710340533 1217726628 1420681066 2131021599 2841362132 4262043198 6384240691 8524086396 12768481382 19152722073 25536962764 38305444146 44689684837 76610888292 89379369674 134069054511 146837535893 178758739348 268138109022 293675071786 440512607679 536276218044 587350143572 881025215358 1027862751251 1762050430716 2055725502502 3083588253753 4111451005004 6167176507506 12334353015012