Search a number
-
+
12134022560 = 2551110764433
BaseRepresentation
bin10110100110011111…
…00111110110100000
31011022122022012201222
423103033213312200
5144322302210220
65324014114212
7606456330032
oct132317476640
934278265658
1012134022560
115167380820
1224277ab968
1311b4b5b20a
14831747c52
154b03e5e25
hex2d33e7da0

12134022560 has 96 divisors (see below), whose sum is σ = 31565443392. Its totient is φ = 4371066880.

The previous prime is 12134022521. The next prime is 12134022587. The reversal of 12134022560 is 6522043121.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 156104 + ... + 220536.

It is an arithmetic number, because the mean of its divisors is an integer number (328806702).

Almost surely, 212134022560 is an apocalyptic number.

12134022560 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 12134022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15782721696).

12134022560 is an abundant number, since it is smaller than the sum of its proper divisors (19431420832).

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

12134022560 is a wasteful number, since it uses less digits than its factorization.

12134022560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64566 (or 64558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 12134022560 its reverse (6522043121), we get a palindrome (18656065681).

The spelling of 12134022560 in words is "twelve billion, one hundred thirty-four million, twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 107 110 160 176 214 220 352 428 440 535 856 880 1070 1177 1712 1760 2140 2354 3424 4280 4708 5885 8560 9416 11770 17120 18832 23540 37664 47080 64433 94160 128866 188320 257732 322165 515464 644330 708763 1030928 1288660 1417526 2061856 2577320 2835052 3543815 5154640 5670104 6894331 7087630 10309280 11340208 13788662 14175260 22680416 27577324 28350520 34471655 55154648 56701040 68943310 75837641 110309296 113402080 137886620 151675282 220618592 275773240 303350564 379188205 551546480 606701128 758376410 1103092960 1213402256 1516752820 2426804512 3033505640 6067011280 12134022560