Search a number
-
+
12114973992060 = 2232567305411067
BaseRepresentation
bin1011000001001011110010…
…1110001010010001111100
31120220011212100221001112200
42300102330232022101330
53041442431320221220
641433313041431500
72360164230556362
oct260227456122174
946804770831480
1012114973992060
113950a27a88855
121437b6833b590
1369b58b540454
142dc521613632
15160211a33890
hexb04bcb8a47c

12114973992060 has 36 divisors (see below), whose sum is σ = 36748754443128. Its totient is φ = 3230659731168.

The previous prime is 12114973992041. The next prime is 12114973992067. The reversal of 12114973992060 is 6029937941121.

12114973992060 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 49 + 7 + 399 + 206 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12114973991988 and 12114973992006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114973992067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33652705354 + ... + 33652705713.

Almost surely, 212114973992060 is an apocalyptic number.

12114973992060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114973992060 is an abundant number, since it is smaller than the sum of its proper divisors (24633780451068).

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

12114973992060 is a wasteful number, since it uses less digits than its factorization.

12114973992060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67305411082 (or 67305411077 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 12114973992060 in words is "twelve trillion, one hundred fourteen billion, nine hundred seventy-three million, nine hundred ninety-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67305411067 134610822134 201916233201 269221644268 336527055335 403832466402 605748699603 673054110670 807664932804 1009581166005 1211497399206 1346108221340 2019162332010 2422994798412 3028743498015 4038324664020 6057486996030 12114973992060