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12434322212312 = 237111310130750077
BaseRepresentation
bin1011010011110001011101…
…0110111100010111011000
31122000201011021221111210212
42310330113112330113120
53112210442441243222
642240125422230252
72422231044630320
oct264742726742730
948021137844725
1012434322212312
113a644037aa320
121489a31425388
136c27229bb8a0
1430db78256280
151686a2b136e2
hexb4f175bc5d8

12434322212312 has 256 divisors, whose sum is σ = 31716729031680. Its totient is φ = 4413097728000.

The previous prime is 12434322212293. The next prime is 12434322212357. The reversal of 12434322212312 is 21321222343421.

It is a happy number.

It is a super-2 number, since 2×124343222123122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248279018 + ... + 248329094.

It is an arithmetic number, because the mean of its divisors is an integer number (123893472780).

Almost surely, 212434322212312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434322212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858364515840).

12434322212312 is an abundant number, since it is smaller than the sum of its proper divisors (19282406819368).

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

12434322212312 is a wasteful number, since it uses less digits than its factorization.

12434322212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50522 (or 50518 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 12434322212312 its reverse (21321222343421), we get a palindrome (33755544555733).

The spelling of 12434322212312 in words is "twelve trillion, four hundred thirty-four billion, three hundred twenty-two million, two hundred twelve thousand, three hundred twelve".