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12042133014 = 2329263359733
BaseRepresentation
bin10110011011100010…
…00101111000010110
31011002020101201222110
423031301011320112
5144130241224024
65310532411450
7604262304342
oct131561057026
934066351873
1012042133014
11511a51984a
122400a76b86
13119bac71c2
14823468622
154a72e4629
hex2cdc45e16

12042133014 has 64 divisors (see below), whose sum is σ = 25113369600. Its totient is φ = 3844885632.

The previous prime is 12042133007. The next prime is 12042133079. The reversal of 12042133014 is 41033124021.

12042133014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 16428192 + ... + 16428924.

It is an arithmetic number, because the mean of its divisors is an integer number (392396400).

Almost surely, 212042133014 is an apocalyptic number.

12042133014 is an abundant number, since it is smaller than the sum of its proper divisors (13071236586).

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

12042133014 is a wasteful number, since it uses less digits than its factorization.

12042133014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12042133014 its reverse (41033124021), we get a palindrome (53075257035).

The spelling of 12042133014 in words is "twelve billion, forty-two million, one hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 29 58 87 174 263 359 526 718 733 789 1077 1466 1578 2154 2199 4398 7627 10411 15254 20822 21257 22881 31233 42514 45762 62466 63771 94417 127542 188834 192779 263147 283251 385558 526294 566502 578337 789441 1156674 1578882 2738093 5476186 5590591 7631263 8214279 11181182 15262526 16428558 16771773 22893789 33543546 45787578 69207661 138415322 207622983 415245966 2007022169 4014044338 6021066507 12042133014