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12111112332 = 22331128793541
BaseRepresentation
bin10110100011110000…
…01110100010001100
31011021001012020211000
423101320032202030
5144300421043312
65321435100300
7606060520254
oct132170164214
934231166730
1012111112332
115155452a50
12241bba1690
1311b0199277
1482c6a2964
154ad3bcadc
hex2d1e0e88c

12111112332 has 96 divisors (see below), whose sum is σ = 34275225600. Its totient is φ = 3667723200.

The previous prime is 12111112313. The next prime is 12111112361. The reversal of 12111112332 is 23321111121.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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, 3418482 + ... + 3422022.

It is an arithmetic number, because the mean of its divisors is an integer number (357033600).

Almost surely, 212111112332 is an apocalyptic number.

12111112332 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 12111112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137612800).

12111112332 is an abundant number, since it is smaller than the sum of its proper divisors (22164113268).

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

12111112332 is a wasteful number, since it uses less digits than its factorization.

12111112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12111112332 its reverse (23321111121), we get a palindrome (35432223453).

The spelling of 12111112332 in words is "twelve billion, one hundred eleven million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2879 3541 5758 7082 8637 10623 11516 14164 17274 21246 25911 31669 31869 34548 38951 42492 51822 63338 63738 77733 77902 95007 95607 103644 116853 126676 127476 155466 155804 190014 191214 233706 285021 310932 350559 380028 382428 467412 570042 701118 855063 1051677 1140084 1402236 1710126 2103354 3420252 4206708 10194539 20389078 30583617 40778156 61167234 91750851 112139929 122334468 183501702 224279858 275252553 336419787 367003404 448559716 550505106 672839574 1009259361 1101010212 1345679148 2018518722 3027778083 4037037444 6055556166 12111112332