Search a number
-
+
12131231200 = 25521110113649
BaseRepresentation
bin10110100110001001…
…11110010111100000
31011022110001101201021
423103010332113200
5144321043344300
65323434215224
7606423522664
oct132304762740
934273041637
1012131231200
115165844610
122426884514
1311b43c181a
1483121c8a4
154b0043d1a
hex2d313e5e0

12131231200 has 144 divisors (see below), whose sum is σ = 32629942800. Its totient is φ = 4367360000.

The previous prime is 12131231173. The next prime is 12131231213. The reversal of 12131231200 is 213213121.

12131231200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 881976 + ... + 895624.

It is an arithmetic number, because the mean of its divisors is an integer number (226596825).

Almost surely, 212131231200 is an apocalyptic number.

12131231200 is a gapful number since it is divisible by the number (10) 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 12131231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314971400).

12131231200 is an abundant number, since it is smaller than the sum of its proper divisors (20498711600).

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

12131231200 is a wasteful number, since it uses less digits than its factorization.

12131231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13781 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12131231200 its reverse (213213121), we get a palindrome (12344444321).

The spelling of 12131231200 in words is "twelve billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 101 110 160 176 200 202 220 275 352 400 404 440 505 550 800 808 880 1010 1100 1111 1616 1760 2020 2200 2222 2525 3232 4040 4400 4444 5050 5555 8080 8800 8888 10100 11110 13649 16160 17776 20200 22220 27298 27775 35552 40400 44440 54596 55550 68245 80800 88880 109192 111100 136490 150139 177760 218384 222200 272980 300278 341225 436768 444400 545960 600556 682450 750695 888800 1091920 1201112 1364900 1378549 1501390 2183840 2402224 2729800 2757098 3002780 3753475 4804448 5459600 5514196 6005560 6892745 7506950 10919200 11028392 12011120 13785490 15013900 15164039 22056784 24022240 27570980 30027800 30328078 34463725 44113568 55141960 60055600 60656156 68927450 75820195 110283920 120111200 121312312 137854900 151640390 220567840 242624624 275709800 303280780 379100975 485249248 551419600 606561560 758201950 1102839200 1213123120 1516403900 2426246240 3032807800 6065615600 12131231200