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12220100384664 = 2331722749640901
BaseRepresentation
bin1011000111010011011010…
…1111100001011110011000
31121021020012210210010102010
42301310312233201132120
53100203231144302124
641553500413105520
72400605323300044
oct261646657413630
947236183703363
1012220100384664
1139915740a9557
121454406a882a0
136a84731332a3
14303655437024
15162d15d3e529
hexb1d36be1798

12220100384664 has 96 divisors (see below), whose sum is σ = 32464890810000. Its totient is φ = 3832356403200.

The previous prime is 12220100384663. The next prime is 12220100384729. The reversal of 12220100384664 is 46648300102221.

It is a super-2 number, since 2×122201003846642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220100384663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18746614 + ... + 19387514.

Almost surely, 212220100384664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220100384664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232445405000).

12220100384664 is an abundant number, since it is smaller than the sum of its proper divisors (20244790425336).

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

12220100384664 is a wasteful number, since it uses less digits than its factorization.

12220100384664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643693 (or 643672 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 12220100384664 its reverse (46648300102221), we get a palindrome (58868400486885).

The spelling of 12220100384664 in words is "twelve trillion, two hundred twenty billion, one hundred million, three hundred eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 2749 3468 5498 6936 8247 10996 16494 21992 32988 46733 65976 93466 140199 186932 280398 373864 560796 640901 794461 1121592 1281802 1588922 1922703 2383383 2563604 3177844 3845406 4766766 5127208 6355688 7690812 9533532 10895317 15381624 19067064 21790634 32685951 43581268 65371902 87162536 130743804 185220389 261487608 370440778 555661167 740881556 1111322334 1481763112 1761836849 2222644668 3523673698 4445289336 5285510547 7047347396 10571021094 14094694792 21142042188 29951226433 42284084376 59902452866 89853679299 119804905732 179707358598 239609811464 359414717196 509170849361 718829434392 1018341698722 1527512548083 2036683397444 3055025096166 4073366794888 6110050192332 12220100384664