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12669314112 = 26337132331113
BaseRepresentation
bin10111100110010011…
…00110010001000000
31012200221112211201000
423303021212101000
5201421321022422
65453055212000
7625646251560
oct136311462100
935627484630
1012669314112
115411552234
122556b17000
13126ba1b990
14882888da0
154e23d0cac
hex2f3266440

12669314112 has 896 divisors, whose sum is σ = 49813585920. Its totient is φ = 3065610240.

The previous prime is 12669314069. The next prime is 12669314117. The reversal of 12669314112 is 21141396621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (15552) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (12669314117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112117768 + ... + 112117880.

It is an arithmetic number, because the mean of its divisors is an integer number (55595520).

Almost surely, 212669314112 is an apocalyptic number.

12669314112 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 12669314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906792960).

12669314112 is an abundant number, since it is smaller than the sum of its proper divisors (37144271808).

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

12669314112 is a wasteful number, since it uses less digits than its factorization.

12669314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 12669314112 in words is "twelve billion, six hundred sixty-nine million, three hundred fourteen thousand, one hundred twelve".