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12211112004 = 22371361183317
BaseRepresentation
bin10110101111101011…
…01100100001000100
31011112000100202120120
423113311230201010
5200002021041004
65335410301540
7611413511430
oct132765544104
934460322516
1012211112004
1151a6944203
1224495878b0
1311c7b0c880
1483ba939c0
154b70723d9
hex2d7d6c844

12211112004 has 96 divisors (see below), whose sum is σ = 35642885376. Its totient is φ = 3167700480.

The previous prime is 12211111937. The next prime is 12211112021. The reversal of 12211112004 is 40021111221.

12211112004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122111120042 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 25047 + ... + 158270.

It is an arithmetic number, because the mean of its divisors is an integer number (371280056).

Almost surely, 212211112004 is an apocalyptic number.

12211112004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821442688).

12211112004 is an abundant number, since it is smaller than the sum of its proper divisors (23431773372).

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

12211112004 is a wasteful number, since it uses less digits than its factorization.

12211112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183405 (or 183403 counting only the distinct ones).

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

Adding to 12211112004 its reverse (40021111221), we get a palindrome (52232223225).

The spelling of 12211112004 in words is "twelve billion, two hundred eleven million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 182 183 244 273 364 366 427 546 732 793 854 1092 1281 1586 1708 2379 2562 3172 4758 5124 5551 9516 11102 16653 22204 33306 66612 183317 366634 549951 733268 1099902 1283219 2199804 2383121 2566438 3849657 4766242 5132876 7149363 7699314 9532484 11182337 14298726 15398628 16681847 22364674 28597452 33363694 33547011 44729348 50045541 66727388 67094022 78276359 100091082 134188044 145370381 156552718 200182164 234829077 290740762 313105436 436111143 469658154 581481524 872222286 939316308 1017592667 1744444572 2035185334 3052778001 4070370668 6105556002 12211112004