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12320421234144 = 2531728141536469
BaseRepresentation
bin1011001101001001001001…
…0101001100010111100000
31121121211011100011022101220
42303102102111030113200
53103324210313443034
642111531241055040
72411056344402552
oct263222225142740
947554140138356
1012320421234144
113a20074659611
12146b944187480
136b4a7026079a
14308450d374d2
15165738305749
hexb349254c5e0

12320421234144 has 192 divisors, whose sum is σ = 34378975229760. Its totient is φ = 3849952296960.

The previous prime is 12320421234119. The next prime is 12320421234179. The reversal of 12320421234144 is 44143212402321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904529342 + ... + 1904535810.

It is an arithmetic number, because the mean of its divisors is an integer number (179057162655).

Almost surely, 212320421234144 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 12320421234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189487614880).

12320421234144 is an abundant number, since it is smaller than the sum of its proper divisors (22058553995616).

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

12320421234144 is a wasteful number, since it uses less digits than its factorization.

12320421234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10933 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12320421234144 its reverse (44143212402321), we get a palindrome (56463633636465).

The spelling of 12320421234144 in words is "twelve trillion, three hundred twenty billion, four hundred twenty-one million, two hundred thirty-four thousand, one hundred forty-four".