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12334112340 = 223511174992203
BaseRepresentation
bin10110111110010101…
…11001111001010100
31011211120210211022120
423133022321321110
5200230013043330
65355522455540
7614436140124
oct133712717124
934746724276
1012334112340
11525a315180
1224828045b0
131217447334
14850150c84
154c2c6bc10
hex2df2b9e54

12334112340 has 192 divisors, whose sum is σ = 39989376000. Its totient is φ = 2807285760.

The previous prime is 12334112317. The next prime is 12334112341. The reversal of 12334112340 is 4321143321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12334112340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334112341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5597679 + ... + 5599881.

It is an arithmetic number, because the mean of its divisors is an integer number (208278000).

Almost surely, 212334112340 is an apocalyptic number.

12334112340 is a gapful number since it is divisible by the number (10) 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 12334112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994688000).

12334112340 is an abundant number, since it is smaller than the sum of its proper divisors (27655263660).

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

12334112340 is a wasteful number, since it uses less digits than its factorization.

12334112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12334112340 its reverse (4321143321), we get a palindrome (16655255661).

The spelling of 12334112340 in words is "twelve billion, three hundred thirty-four million, one hundred twelve thousand, three hundred forty".