Search a number
-
+
11212012200012 = 22313202952616733
BaseRepresentation
bin1010001100101000000000…
…0000010010000001001100
31110200212011102000100102120
42203022000000102001030
52432144200110400022
635502421032452540
72235020054145531
oct243120000220114
943625142010376
1011212012200012
113632a95654838
121310b6824a150
13634399289a90
142aa942b2cd88
151469b44add5c
hexa328001204c

11212012200012 has 96 divisors (see below), whose sum is σ = 28197204934080. Its totient is φ = 3446982190080.

The previous prime is 11212012200007. The next prime is 11212012200017. The reversal of 11212012200012 is 21000221021211.

It is an interprime number because it is at equal distance from previous prime (11212012200007) and next prime (11212012200017).

It is a junction number, because it is equal to n+sod(n) for n = 11212012199964 and 11212012200000.

It is not an unprimeable number, because it can be changed into a prime (11212012200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665229398 + ... + 1665236130.

It is an arithmetic number, because the mean of its divisors is an integer number (293720884730).

Almost surely, 211212012200012 is an apocalyptic number.

11212012200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11212012200012 is an abundant number, since it is smaller than the sum of its proper divisors (16985192734068).

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

11212012200012 is a wasteful number, since it uses less digits than its factorization.

11212012200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14043 (or 14041 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11212012200012 its reverse (21000221021211), we get a palindrome (32212233221223).

The spelling of 11212012200012 in words is "eleven trillion, two hundred twelve billion, twelve million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2029 4058 5261 6087 6733 8116 10522 12174 13466 15783 20199 21044 24348 26377 26932 31566 40398 52754 63132 68393 79131 80796 87529 105508 136786 158262 175058 205179 262587 273572 316524 350116 410358 525174 820716 1050348 10674569 13661257 21349138 27322514 32023707 35422313 40983771 42698276 54645028 64047414 70844626 81967542 106266939 128094828 138769397 141689252 163935084 177596341 212533878 277538794 355192682 416308191 425067756 460490069 532789023 555077588 710385364 832616382 920980138 1065578046 1381470207 1665232764 1841960276 2131156092 2762940414 5525880828 71871873077 143743746154 215615619231 287487492308 431231238462 862462476924 934334350001 1868668700002 2803003050003 3737337400004 5606006100006 11212012200012