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12234321216 = 263313733743
BaseRepresentation
bin10110110010011100…
…01110110101000000
31011120122000220122000
423121032032311000
5200023441234331
65341555544000
7612115004655
oct133116166500
934518026560
1012234321216
115208a56677
1224552bb000
1311cc877930
14840bb5c2c
154b91090e6
hex2d938ed40

12234321216 has 224 divisors, whose sum is σ = 38838347520. Its totient is φ = 3754211328.

The previous prime is 12234321181. The next prime is 12234321233. The reversal of 12234321216 is 61212343221.

12234321216 is a `hidden beast` number, since 1 + 223 + 432 + 1 + 2 + 1 + 6 = 666.

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

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 12234321216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16465741 + ... + 16466483.

It is an arithmetic number, because the mean of its divisors is an integer number (173385480).

Almost surely, 212234321216 is an apocalyptic number.

12234321216 is a gapful number since it is divisible by the number (16) 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 12234321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19419173760).

12234321216 is an abundant number, since it is smaller than the sum of its proper divisors (26604026304).

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

12234321216 is a wasteful number, since it uses less digits than its factorization.

12234321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1494 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12234321216 its reverse (61212343221), we get a palindrome (73446664437).

The spelling of 12234321216 in words is "twelve billion, two hundred thirty-four million, three hundred twenty-one thousand, two hundred sixteen".