Search a number
-
+
12343020021200 = 24521123121966601
BaseRepresentation
bin1011001110011101010101…
…0100101110010111010000
31121200222111021202122022002
42303213111110232113100
53104212001111134300
642130145523333132
72412516354046241
oct263472524562720
947628437678262
1012343020021200
113a29711024830
1214741b05211a8
136b6c3217522b
14309596426cc8
1516610c2b25d5
hexb39d552e5d0

12343020021200 has 120 divisors (see below), whose sum is σ = 33756452502336. Its totient is φ = 4293224320000.

The previous prime is 12343020021197. The next prime is 12343020021217. The reversal of 12343020021200 is 212002034321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 60882101 + ... + 61084500.

Almost surely, 212343020021200 is an apocalyptic number.

12343020021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12343020021200 is an abundant number, since it is smaller than the sum of its proper divisors (21413432481136).

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

12343020021200 is a wasteful number, since it uses less digits than its factorization.

12343020021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121966653 (or 121966642 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12343020021200 its reverse (212002034321), we get a palindrome (12555022055521).

The spelling of 12343020021200 in words is "twelve trillion, three hundred forty-three billion, twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 176 184 200 220 230 253 275 368 400 440 460 506 550 575 880 920 1012 1100 1150 1265 1840 2024 2200 2300 2530 4048 4400 4600 5060 6325 9200 10120 12650 20240 25300 50600 101200 121966601 243933202 487866404 609833005 975732808 1219666010 1341632611 1951465616 2439332020 2683265222 2805231823 3049165025 4878664040 5366530444 5610463646 6098330050 6708163055 9757328080 10733060888 11220927292 12196660100 13416326110 14026159115 21466121776 22441854584 24393320200 26832652220 28052318230 30857550053 33540815275 44883709168 48786640400 53665304440 56104636460 61715100106 67081630550 70130795575 107330608880 112209272920 123430200212 134163261100 140261591150 154287750265 224418545840 246860400424 268326522200 280523182300 308575500530 493720800848 536653044400 561046364600 617151001060 771438751325 1122092729200 1234302002120 1542877502650 2468604004240 3085755005300 6171510010600 12343020021200