Search a number
-
+
12022012202211 = 341128794686599
BaseRepresentation
bin1010111011110001011111…
…0001000100110011100011
31120120021220200220211120000
42232330113301010303203
53033432040110432321
641322500335551043
72350363445442114
oct256742761046343
946507820824500
1012022012202211
113915563525160
121421b4368b483
13692894c248cb
142d7c2321820b
1515cac065e826
hexaef17c44ce3

12022012202211 has 40 divisors (see below), whose sum is σ = 19598236416000. Its totient is φ = 7283535683760.

The previous prime is 12022012202201. The next prime is 12022012202231. The reversal of 12022012202211 is 11220221022021.

It is a happy number.

12022012202211 is a `hidden beast` number, since 1 + 2 + 0 + 220 + 1 + 220 + 221 + 1 = 666.

It is not a de Polignac number, because 12022012202211 - 218 = 12022011940067 is a prime.

It is a super-2 number, since 2×120220122022112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12022012202201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221890 + ... + 4908488.

It is an arithmetic number, because the mean of its divisors is an integer number (489955910400).

Almost surely, 212022012202211 is an apocalyptic number.

12022012202211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12022012202211 is a deficient number, since it is larger than the sum of its proper divisors (7576224213789).

12022012202211 is a wasteful number, since it uses less digits than its factorization.

12022012202211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689501 (or 4689492 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12022012202211 its reverse (11220221022021), we get a palindrome (23242233224232).

The spelling of 12022012202211 in words is "twelve trillion, twenty-two billion, twelve million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 9 11 27 33 81 99 297 891 2879 8637 25911 31669 77733 95007 233199 285021 855063 2565189 4686599 14059797 42179391 51552589 126538173 154657767 379614519 463973301 1391919903 4175759709 13492718521 40478155563 121434466689 148419903731 364303400067 445259711193 1092910200201 1335779133579 4007337400737 12022012202211