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12000222301314 = 23136726349917497
BaseRepresentation
bin1010111010100000010011…
…1111001100110010000010
31120111012200010101011212110
42232220010333030302002
53033102423402120224
641304454230440150
72345662460362212
oct256500477146202
946435603334773
1012000222301314
1139072a170a0a5
121419882203056
13690801784920
142d6b57328242
1515c2476d2929
hexaea04fccc82

12000222301314 has 128 divisors (see below), whose sum is σ = 26386424064000. Its totient is φ = 3615968024064.

The previous prime is 12000222301289. The next prime is 12000222301369. The reversal of 12000222301314 is 41310322200021.

It is a super-2 number, since 2×120002223013142 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685835814 + ... + 685853310.

It is an arithmetic number, because the mean of its divisors is an integer number (206143938000).

Almost surely, 212000222301314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000222301314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193212032000).

12000222301314 is an abundant number, since it is smaller than the sum of its proper divisors (14386201762686).

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

12000222301314 is a wasteful number, since it uses less digits than its factorization.

12000222301314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18344.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12000222301314 its reverse (41310322200021), we get a palindrome (53310544501335).

The spelling of 12000222301314 in words is "twelve trillion, two hundred twenty-two million, three hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 263 402 499 526 789 871 998 1497 1578 1742 2613 2994 3419 5226 6487 6838 10257 12974 17497 17621 19461 20514 33433 34994 35242 38922 52491 52863 66866 100299 104982 105726 131237 200598 227461 229073 262474 393711 434629 454922 458146 682383 687219 787422 869258 1172299 1303887 1364766 1374438 1706081 2344598 2607774 3412162 3516897 4601711 5118243 7033794 8731003 8792879 9203422 10236486 13805133 15239887 17462006 17585758 26193009 26378637 27610266 30479774 45719661 52386018 52757274 59822243 91439322 113503039 114307427 119644486 179466729 227006078 228614854 308314637 340509117 342922281 358933458 584977201 616629274 681018234 685844562 924943911 1169954402 1754931603 1849887822 2296253789 3509863206 4008090281 4592507578 6888761367 7604703613 8016180562 12024270843 13777522734 15209407226 22814110839 24048541686 29851299257 45628221678 59702598514 89553897771 153849003863 179107795542 307698007726 461547011589 923094023178 2000037050219 4000074100438 6000111150657 12000222301314