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12102034448 = 247312229491
BaseRepresentation
bin10110100010101011…
…00110010000010000
31011020102010001022002
423101111212100100
5144241110100243
65320512333132
7605620411160
oct132125462020
934212101262
1012102034448
115150312669
122418b441a8
1311ab33b33a
1482b3bc5a0
154ac6c7eb8
hex2d1566410

12102034448 has 120 divisors (see below), whose sum is σ = 27867234240. Its totient is φ = 4987180800.

The previous prime is 12102034447. The next prime is 12102034463. The reversal of 12102034448 is 84443020121.

It is a self number, because there is not a number n which added to its sum of digits gives 12102034448.

It is not an unprimeable number, because it can be changed into a prime (12102034447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24647483 + ... + 24647973.

It is an arithmetic number, because the mean of its divisors is an integer number (232226952).

Almost surely, 212102034448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102034448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933617120).

12102034448 is an abundant number, since it is smaller than the sum of its proper divisors (15765199792).

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

12102034448 is a wasteful number, since it uses less digits than its factorization.

12102034448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 12102034448 its reverse (84443020121), we get a palindrome (96545054569).

The spelling of 12102034448 in words is "twelve billion, one hundred two million, thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 229 248 434 458 491 496 868 916 961 982 1603 1736 1832 1922 1964 3206 3437 3472 3664 3844 3928 6412 6727 6874 7099 7688 7856 12824 13454 13748 14198 15221 15376 25648 26908 27496 28396 30442 49693 53816 54992 56792 60884 99386 106547 107632 112439 113584 121768 198772 213094 220069 224878 243536 397544 426188 440138 449756 471851 787073 795088 852376 880276 899512 943702 1540483 1574146 1704752 1760552 1799024 1887404 3080966 3148292 3302957 3485609 3521104 3774808 6161932 6296584 6605914 6971218 7549616 12323864 12593168 13211828 13942436 24399263 24647728 26423656 27884872 48798526 52847312 55769744 97597052 108053879 195194104 216107758 390388208 432215516 756377153 864431032 1512754306 1728862064 3025508612 6051017224 12102034448