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12334324340000 = 255413355713337
BaseRepresentation
bin1011001101111100111100…
…0001010101010100100000
31121200011001021022021012102
42303133033001111110200
53104041144012340000
642122151012545532
72412061025013065
oct263371701252440
947604037267172
1012334324340000
113a25a59597843
1214725843222a8
136b6177775740
14308dad5cac6c
15165c9db993d5
hexb37cf055520

12334324340000 has 240 divisors, whose sum is σ = 32690102012568. Its totient is φ = 4552590336000.

The previous prime is 12334324339937. The next prime is 12334324340113. The reversal of 12334324340000 is 4342343321.

It can be written as a sum of positive squares in 20 ways, for example, as 10708627939216 + 1625696400784 = 3272404^2 + 1275028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 924813332 + ... + 924826668.

Almost surely, 212334324340000 is an apocalyptic number.

12334324340000 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 12334324340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345051006284).

12334324340000 is an abundant number, since it is smaller than the sum of its proper divisors (20355777672568).

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

12334324340000 is a wasteful number, since it uses less digits than its factorization.

12334324340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937 (or 16914 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 12334324340000 its reverse (4342343321), we get a palindrome (12338666683321).

The spelling of 12334324340000 in words is "twelve trillion, three hundred thirty-four billion, three hundred twenty-four million, three hundred forty thousand".