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12343288983912 = 2334439735912721
BaseRepresentation
bin1011001110011110010101…
…0110101111000101101000
31121201000012000212100210000
42303213211112233011220
53104213023434441122
642130232332223000
72412526131150135
oct263474526570550
947630160770700
1012343288983912
113a2983992a467
12147426660aa60
136b6c75ac6b73
143095c003b58c
15166125be00ac
hexb39e55af168

12343288983912 has 320 divisors, whose sum is σ = 35843736297600. Its totient is φ = 3965924229120.

The previous prime is 12343288983847. The next prime is 12343288983943. The reversal of 12343288983912 is 21938988234321.

12343288983912 is a `hidden beast` number, since 1 + 2 + 3 + 432 + 88 + 98 + 39 + 1 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12343288983912.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 970301712 + ... + 970314432.

It is an arithmetic number, because the mean of its divisors is an integer number (112011675930).

Almost surely, 212343288983912 is an apocalyptic number.

12343288983912 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 12343288983912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921868148800).

12343288983912 is an abundant number, since it is smaller than the sum of its proper divisors (23500447313688).

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

12343288983912 is a wasteful number, since it uses less digits than its factorization.

12343288983912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13238 (or 13225 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 12343288983912 in words is "twelve trillion, three hundred forty-three billion, two hundred eighty-eight million, nine hundred eighty-three thousand, nine hundred twelve".