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12314031322320 = 24335721337241883
BaseRepresentation
bin1011001100110001010101…
…1101100111010011010000
31121121012200000102011021000
42303030111131213103100
53103223114004303240
642104553215102000
72410442114140200
oct263142535472320
947535600364230
1012314031322320
113a18395723252
12146a660211900
136b4292476180
1430800642c400
151654b234d430
hexb33157674d0

12314031322320 has 960 divisors, whose sum is σ = 54571584695040. Its totient is φ = 2527895236608.

The previous prime is 12314031322297. The next prime is 12314031322321. The reversal of 12314031322320 is 2322313041321.

12314031322320 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 4 + 0 + 313 + 22 + 320 = 666.

12314031322320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314031322321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50788099 + ... + 51029981.

It is an arithmetic number, because the mean of its divisors is an integer number (56845400724).

Almost surely, 212314031322320 is an apocalyptic number.

12314031322320 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 12314031322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27285792347520).

12314031322320 is an abundant number, since it is smaller than the sum of its proper divisors (42257553372720).

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

12314031322320 is a wasteful number, since it uses less digits than its factorization.

12314031322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241969 (or 241950 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12314031322320 its reverse (2322313041321), we get a palindrome (14636344363641).

The spelling of 12314031322320 in words is "twelve trillion, three hundred fourteen billion, thirty-one million, three hundred twenty-two thousand, three hundred twenty".