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12231131112 = 233356625607
BaseRepresentation
bin10110110010000100…
…00011111111101000
31011120102000211122000
423121002003333220
5200022132143422
65341403331000
7612045620244
oct133102037750
934512024560
1012231131112
115207177922
122454220a60
1311cbccb8b5
148405c5424
154b8bc8cac
hex2d9083fe8

12231131112 has 32 divisors (see below), whose sum is σ = 33975364800. Its totient is φ = 4077043632.

The previous prime is 12231131063. The next prime is 12231131131. The reversal of 12231131112 is 21113113221.

12231131112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28312588 + ... + 28313019.

It is an arithmetic number, because the mean of its divisors is an integer number (1061730150).

Almost surely, 212231131112 is an apocalyptic number.

12231131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12231131112 is an abundant number, since it is smaller than the sum of its proper divisors (21744233688).

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

12231131112 is a wasteful number, since it uses less digits than its factorization.

12231131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56625622 (or 56625612 counting only the distinct ones).

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

Adding to 12231131112 its reverse (21113113221), we get a palindrome (33344244333).

The spelling of 12231131112 in words is "twelve billion, two hundred thirty-one million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 56625607 113251214 169876821 226502428 339753642 453004856 509630463 679507284 1019260926 1359014568 1528891389 2038521852 3057782778 4077043704 6115565556 12231131112