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12223131133332 = 22371921672413679
BaseRepresentation
bin1011000111011110101101…
…1000111010010110010100
31121021112001000200002222210
42301313223120322112110
53100230433032231312
641555121240353420
72401043404240020
oct261675330722624
947245030602883
1012223131133332
113992889960919
121454b11a75870
136a8836cc24b2
14303861b65380
15162e41e58e3c
hexb1deb63a594

12223131133332 has 144 divisors (see below), whose sum is σ = 34606841794560. Its totient is φ = 3288703857984.

The previous prime is 12223131133309. The next prime is 12223131133361. The reversal of 12223131133332 is 23333113132221.

It is a super-2 number, since 2×122231311333322 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12223131133332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3857269 + ... + 6270947.

It is an arithmetic number, because the mean of its divisors is an integer number (240325290240).

Almost surely, 212223131133332 is an apocalyptic number.

12223131133332 is a gapful number since it is divisible by the number (12) 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 12223131133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303420897280).

12223131133332 is an abundant number, since it is smaller than the sum of its proper divisors (22383710661228).

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

12223131133332 is a wasteful number, since it uses less digits than its factorization.

12223131133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413898 (or 2413877 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 12223131133332 its reverse (23333113132221), we get a palindrome (35556244265553).

The spelling of 12223131133332 in words is "twelve trillion, two hundred twenty-three billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 167 228 266 334 361 399 501 532 668 722 798 1002 1083 1169 1444 1596 2004 2166 2338 2527 3173 3507 4332 4676 5054 6346 7014 7581 9519 10108 12692 14028 15162 19038 22211 30324 38076 44422 60287 66633 88844 120574 133266 180861 241148 266532 361722 422009 723444 844018 1266027 1688036 2413679 2532054 4827358 5064108 7241037 9654716 14482074 16895753 28964148 33791506 45859901 50687259 67583012 91719802 101374518 137579703 183439604 202749036 275159406 321019307 403084393 550318812 642038614 806168786 871338119 963057921 1209253179 1284077228 1612337572 1742676238 1926115842 2418506358 2614014357 2821590751 3485352476 3852231684 4837012716 5228028714 5643181502 6099366833 7658603467 8464772253 10456057428 11286363004 12198733666 15317206934 16929544506 18298100499 22975810401 24397467332 30634413868 33859089012 36596200998 45951620802 53610224269 73192401996 91903241604 107220448538 145513465873 160830672807 214440897076 291026931746 321661345614 436540397619 582053863492 643322691228 873080795238 1018594261111 1746161590476 2037188522222 3055782783333 4074377044444 6111565566666 12223131133332