Search a number
-
+
12361104041112 = 2332736593568753
BaseRepresentation
bin1011001111100000101100…
…1101110010010010011000
31121202201011121001000222100
42303320023031302102120
53110011020113303422
642142340210523400
72414026452506331
oct263701315622230
947681147030870
1012361104041112
113a36350a83632
1214777b8896560
136b8854912828
1430a3d0085288
15166819c157ac
hexb3e0b372498

12361104041112 has 96 divisors (see below), whose sum is σ = 33988099345200. Its totient is φ = 4057756674048.

The previous prime is 12361104041087. The next prime is 12361104041113. The reversal of 12361104041112 is 21114040116321.

It is a happy number.

12361104041112 is a `hidden beast` number, since 1 + 2 + 3 + 611 + 0 + 4 + 0 + 41 + 1 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12361104041113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1679328 + ... + 5248080.

Almost surely, 212361104041112 is an apocalyptic number.

12361104041112 is a gapful number since it is divisible by the number (12) 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 12361104041112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994049672600).

12361104041112 is an abundant number, since it is smaller than the sum of its proper divisors (21626995304088).

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

12361104041112 is a wasteful number, since it uses less digits than its factorization.

12361104041112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569497 (or 3569490 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 12361104041112 its reverse (21114040116321), we get a palindrome (33475144157433).

The spelling of 12361104041112 in words is "twelve trillion, three hundred sixty-one billion, one hundred four million, forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 659 876 1314 1318 1752 1977 2628 2636 3954 5256 5272 5931 7908 11862 15816 23724 47448 48107 96214 144321 192428 288642 384856 432963 577284 865926 1154568 1731852 3463704 3568753 7137506 10706259 14275012 21412518 28550024 32118777 42825036 64237554 85650072 128475108 256950216 260518969 521037938 781556907 1042075876 1563113814 2084151752 2344670721 2351808227 3126227628 4689341442 4703616454 6252455256 7055424681 9378682884 9407232908 14110849362 18757365768 18814465816 21166274043 28221698724 42332548086 56443397448 84665096172 169330192344 171682000571 343364001142 515046001713 686728002284 1030092003426 1373456004568 1545138005139 2060184006852 3090276010278 4120368013704 6180552020556 12361104041112