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12231130232112 = 24311131421420029
BaseRepresentation
bin1011000111111100100000…
…1011000011010100110000
31121022021200111101102122120
42301333020023003110300
53100343323314411422
642002523105034240
72401445544404511
oct261771013032460
947267614342576
1012231130232112
113996214173160
121456584925980
136a95102ab33c
14303dc0276a08
1516325e32745c
hexb1fc82c3530

12231130232112 has 160 divisors (see below), whose sum is σ = 34815258466560. Its totient is φ = 3669364608000.

The previous prime is 12231130232107. The next prime is 12231130232141. The reversal of 12231130232112 is 21123203113221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28909714 + ... + 29329742.

It is an arithmetic number, because the mean of its divisors is an integer number (217595365416).

Almost surely, 212231130232112 is an apocalyptic number.

12231130232112 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 12231130232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407629233280).

12231130232112 is an abundant number, since it is smaller than the sum of its proper divisors (22584128234448).

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

12231130232112 is a wasteful number, since it uses less digits than its factorization.

12231130232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420603 (or 420597 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12231130232112 its reverse (21123203113221), we get a palindrome (33354333345333).

The spelling of 12231130232112 in words is "twelve trillion, two hundred thirty-one billion, one hundred thirty million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 176 262 264 393 421 524 528 786 842 1048 1263 1441 1572 1684 2096 2526 2882 3144 3368 4323 4631 5052 5764 6288 6736 8646 9262 10104 11528 13893 17292 18524 20208 23056 27786 34584 37048 55151 55572 69168 74096 110302 111144 165453 220604 222288 330906 420029 441208 606661 661812 840058 882416 1213322 1260087 1323624 1680116 1819983 2426644 2520174 2647248 3360232 3639966 4620319 4853288 5040348 6720464 7279932 9240638 9706576 10080696 13860957 14559864 18481276 20161392 27721914 29119728 36962552 55023799 55443828 73925104 110047598 110887656 165071397 176832209 220095196 221775312 330142794 353664418 440190392 530496627 605261789 660285588 707328836 880380784 1060993254 1210523578 1320571176 1414657672 1815785367 1945154299 2121986508 2421047156 2641142352 2829315344 3631570734 3890308598 4243973016 4842094312 5835462897 7263141468 7780617196 8487946032 9684188624 11670925794 14526282936 15561234392 23165019379 23341851588 29052565872 31122468784 46330038758 46683703176 69495058137 92660077516 93367406352 138990116274 185320155032 254815213169 277980232548 370640310064 509630426338 555960465096 764445639507 1019260852676 1111920930192 1528891279014 2038521705352 3057782558028 4077043410704 6115565116056 12231130232112