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12211113012 = 2237220767199
BaseRepresentation
bin10110101111101011…
…01100110000110100
31011112000100210221220
423113311230300310
5200002021104022
65335410310340
7611413514400
oct132765546064
934460323856
1012211113012
1151a6944a3a
1224495883b0
1311c7b10177
1483ba94100
154b707285c
hex2d7d6cc34

12211113012 has 36 divisors (see below), whose sum is σ = 33144451200. Its totient is φ = 3488889264.

The previous prime is 12211112989. The next prime is 12211113017. The reversal of 12211113012 is 21031111221.

It is a super-2 number, since 2×122111130122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211112982 and 12211113000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211113017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10383012 + ... + 10384187.

It is an arithmetic number, because the mean of its divisors is an integer number (920679200).

Almost surely, 212211113012 is an apocalyptic number.

12211113012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211113012 is an abundant number, since it is smaller than the sum of its proper divisors (20933338188).

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

12211113012 is a wasteful number, since it uses less digits than its factorization.

12211113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20767220 (or 20767211 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12211113012 its reverse (21031111221), we get a palindrome (33242224233).

The spelling of 12211113012 in words is "twelve billion, two hundred eleven million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 20767199 41534398 62301597 83068796 124603194 145370393 249206388 290740786 436111179 581481572 872222358 1017592751 1744444716 2035185502 3052778253 4070371004 6105556506 12211113012