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12344122008 = 233617196553
BaseRepresentation
bin10110111111100010…
…00101101010011000
31011212021122101000000
423133301011222120
5200240043401013
65400521213000
7614620206621
oct133761055230
934767571000
1012344122008
115264a31629
122486031160
13121954040a
148515d8a48
154c3a97973
hex2dfc45a98

12344122008 has 224 divisors, whose sum is σ = 38683018800. Its totient is φ = 3668281344.

The previous prime is 12344121967. The next prime is 12344122051. The reversal of 12344122008 is 80022144321.

12344122008 is a `hidden beast` number, since 12 + 3 + 441 + 2 + 200 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1880460 + ... + 1887012.

Almost surely, 212344122008 is an apocalyptic number.

12344122008 is a gapful number since it is divisible by the number (18) 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 12344122008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341509400).

12344122008 is an abundant number, since it is smaller than the sum of its proper divisors (26338896792).

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

12344122008 is a wasteful number, since it uses less digits than its factorization.

12344122008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12344122008 its reverse (80022144321), we get a palindrome (92366266329).

The spelling of 12344122008 in words is "twelve billion, three hundred forty-four million, one hundred twenty-two thousand, eight".