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12223232103312 = 2432179751475777
BaseRepresentation
bin1011000111011111000101…
…1010000101001110010000
31121021112022001122220202200
42301313301122011032100
53100231134404301222
641555135244443200
72401046041412106
oct261676132051620
947245261586680
1012223232103312
11399293095508a
121454b3b849500
136a8851bb5649
14303871329c76
15162e4ac50eac
hexb1df1685390

12223232103312 has 120 divisors (see below), whose sum is σ = 36593718773976. Its totient is φ = 3795206012928.

The previous prime is 12223232103241. The next prime is 12223232103317. The reversal of 12223232103312 is 21330123232221.

12223232103312 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 3 + 2 + 321 + 0 + 331 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6936249272976 + 5286982830336 = 2633676^2 + 2299344^2 .

It is not an unprimeable number, because it can be changed into a prime (12223232103317) 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, 25500433 + ... + 25975344.

Almost surely, 212223232103312 is an apocalyptic number.

12223232103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12223232103312 is an abundant number, since it is smaller than the sum of its proper divisors (24370486670664).

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

12223232103312 is a wasteful number, since it uses less digits than its factorization.

12223232103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51475905 (or 51475896 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12223232103312 its reverse (21330123232221), we get a palindrome (33553355335533).

The spelling of 12223232103312 in words is "twelve trillion, two hundred twenty-three billion, two hundred thirty-two million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 97 102 136 144 153 194 204 272 291 306 388 408 582 612 776 816 873 1164 1224 1552 1649 1746 2328 2448 3298 3492 4656 4947 6596 6984 9894 13192 13968 14841 19788 26384 29682 39576 59364 79152 118728 237456 51475777 102951554 154427331 205903108 308854662 411806216 463281993 617709324 823612432 875088209 926563986 1235418648 1750176418 1853127972 2470837296 2625264627 3500352836 3706255944 4993150369 5250529254 7000705672 7412511888 7875793881 9986300738 10501058508 14001411344 14979451107 15751587762 19972601476 21002117016 29958902214 31503175524 39945202952 42004234032 44938353321 59917804428 63006351048 79890405904 84883556273 89876706642 119835608856 126012702096 169767112546 179753413284 239671217712 254650668819 339534225092 359506826568 509301337638 679068450184 719013653136 763952006457 1018602675276 1358136900368 1527904012914 2037205350552 3055808025828 4074410701104 6111616051656 12223232103312