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12191345112 = 2335919145077
BaseRepresentation
bin10110101101010100…
…10010100111011000
31011110122011111111110
423112222102213120
5144431441020422
65333422500320
7611053503132
oct132652224730
934418144443
1012191345112
115196773031
122442a346a0
1311c39ab59b
148391ca052
154b546a60c
hex2d6a929d8

12191345112 has 64 divisors (see below), whose sum is σ = 31157913600. Its totient is φ = 3973900160.

The previous prime is 12191345069. The next prime is 12191345143. The reversal of 12191345112 is 21154319121.

12191345112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12191345112.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 247918 + ... + 292994.

It is an arithmetic number, because the mean of its divisors is an integer number (486842400).

Almost surely, 212191345112 is an apocalyptic number.

12191345112 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 12191345112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15578956800).

12191345112 is an abundant number, since it is smaller than the sum of its proper divisors (18966568488).

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

12191345112 is a wasteful number, since it uses less digits than its factorization.

12191345112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45336 (or 45332 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The spelling of 12191345112 in words is "twelve billion, one hundred ninety-one million, three hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 191 236 354 382 472 573 708 764 1146 1416 1528 2292 4584 11269 22538 33807 45076 45077 67614 90152 90154 135228 135231 180308 270456 270462 360616 540924 1081848 2659543 5319086 7978629 8609707 10638172 15957258 17219414 21276344 25829121 31914516 34438828 51658242 63829032 68877656 103316484 206632968 507972713 1015945426 1523918139 2031890852 3047836278 4063781704 6095672556 12191345112