Search a number
-
+
12190410720 = 2532537228799
BaseRepresentation
bin10110101101001101…
…01110011111100000
31011110120102000202100
423112212232133200
5144431221120340
65333350450400
7611042532015
oct132646563740
934416360670
1012190410720
115196195004
122442663a00
1311c37421a7
1483902570c
154b5333830
hex2d69ae7e0

12190410720 has 144 divisors (see below), whose sum is σ = 42724281600. Its totient is φ = 3162903552.

The previous prime is 12190410709. The next prime is 12190410769. The reversal of 12190410720 is 2701409121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×121904107202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61120 + ... + 167679.

It is an arithmetic number, because the mean of its divisors is an integer number (296696400).

Almost surely, 212190410720 is an apocalyptic number.

12190410720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12190410720 is an abundant number, since it is smaller than the sum of its proper divisors (30533870880).

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

12190410720 is a wasteful number, since it uses less digits than its factorization.

12190410720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228857 (or 228846 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 12190410720 its reverse (2701409121), we get a palindrome (14891819841).

The spelling of 12190410720 in words is "twelve billion, one hundred ninety million, four hundred ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 26640 53280 228799 457598 686397 915196 1143995 1372794 1830392 2059191 2287990 2745588 3431985 3660784 4118382 4575980 5491176 6863970 7321568 8236764 8465563 9151960 10295955 10982352 13727940 16473528 16931126 18303920 20591910 21964704 25396689 27455880 32947056 33862252 36607840 41183820 42327815 50793378 54911760 65894112 67724504 76190067 82367640 84655630 101586756 109823520 126983445 135449008 152380134 164735280 169311260 203173512 253966890 270898016 304760268 329470560 338622520 380950335 406347024 507933780 609520536 677245040 761900670 812694048 1015867560 1219041072 1354490080 1523801340 2031735120 2438082144 3047602680 4063470240 6095205360 12190410720