Search a number
-
+
12102321024 = 27334774507
BaseRepresentation
bin10110100010101101…
…01100001110000000
31011020102122121102000
423101112230032000
5144241143233044
65320522424000
7605623013523
oct132126541600
934212577360
1012102321024
115150498a02
122419062000
1311ab40b901
1482b454bba
154ac732d69
hex2d15ac380

12102321024 has 128 divisors (see below), whose sum is σ = 36479116800. Its totient is φ = 3948221952.

The previous prime is 12102321013. The next prime is 12102321037. The reversal of 12102321024 is 42012320121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12102320988 and 12102321006.

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, 125179 + ... + 199685.

It is an arithmetic number, because the mean of its divisors is an integer number (284993100).

Almost surely, 212102321024 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 12102321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18239558400).

12102321024 is an abundant number, since it is smaller than the sum of its proper divisors (24376795776).

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

12102321024 is an equidigital number, since it uses as much as digits as its factorization.

12102321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74577 (or 74559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12102321024 its reverse (42012320121), we get a palindrome (54114641145).

The spelling of 12102321024 in words is "twelve billion, one hundred two million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 282 288 376 384 423 432 564 576 752 846 864 1128 1152 1269 1504 1692 1728 2256 2538 3008 3384 3456 4512 5076 6016 6768 9024 10152 13536 18048 20304 27072 40608 54144 74507 81216 149014 162432 223521 298028 447042 596056 670563 894084 1192112 1341126 1788168 2011689 2384224 2682252 3501829 3576336 4023378 4768448 5364504 7003658 7152672 8046756 9536896 10505487 10729008 14007316 14305344 16093512 21010974 21458016 28014632 28610688 31516461 32187024 42021948 42916032 56029264 63032922 64374048 84043896 85832064 94549383 112058528 126065844 128748096 168087792 189098766 224117056 252131688 257496192 336175584 378197532 448234112 504263376 672351168 756395064 1008526752 1344702336 1512790128 2017053504 3025580256 4034107008 6051160512 12102321024