Search a number
-
+
12012011012112 = 243375496664631
BaseRepresentation
bin1010111011001100001110…
…1001100100000000010000
31120112100002200220201220220
42232303003221210000100
53033301044304341422
641314124111433040
72346560554642356
oct256630351440020
946470080821826
1012012011012112
1139112a1077aa1
121420012225780
1369195cc0b847
142d7554c657d6
1515c6d7618e5c
hexaecc3a64010

12012011012112 has 40 divisors (see below), whose sum is σ = 31031859518400. Its totient is φ = 4003896435840.

The previous prime is 12012011012069. The next prime is 12012011012171. The reversal of 12012011012112 is 21121011021021.

It is a happy number.

It is a super-2 number, since 2×120120110121122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12012011012091 and 12012011012100.

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 7 ways as a sum of consecutive naturals, for example, 1529964 + ... + 5134667.

It is an arithmetic number, because the mean of its divisors is an integer number (775796487960).

Almost surely, 212012011012112 is an apocalyptic number.

12012011012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12012011012112 is an abundant number, since it is smaller than the sum of its proper divisors (19019848506288).

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

12012011012112 is a wasteful number, since it uses less digits than its factorization.

12012011012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6702191 (or 6702185 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12012011012112 its reverse (21121011021021), we get a palindrome (33133022033133).

The spelling of 12012011012112 in words is "twelve trillion, twelve billion, eleven million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 37549 75098 112647 150196 225294 300392 450588 600784 901176 1802352 6664631 13329262 19993893 26658524 39987786 53317048 79975572 106634096 159951144 319902288 250250229419 500500458838 750750688257 1001000917676 1501501376514 2002001835352 3003002753028 4004003670704 6006005506056 12012011012112