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12314121320000 = 26543190710949
BaseRepresentation
bin1011001100110001101011…
…0100111011011001000000
31121121012220021202111212102
42303030122310323121000
53103223310024220000
642105010152045532
72410444256123123
oct263143264733100
947535807674772
1012314121320000
113a184315028a5
12146a6863938a8
136b42a7cc7036
143080143783ba
151654ba1c93d5
hexb331ad3b640

12314121320000 has 280 divisors, whose sum is σ = 31557653318400. Its totient is φ = 4761066240000.

The previous prime is 12314121319963. The next prime is 12314121320003. The reversal of 12314121320000 is 2312141321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12314121320003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124674526 + ... + 1124685474.

Almost surely, 212314121320000 is an apocalyptic number.

12314121320000 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 12314121320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15778826659200).

12314121320000 is an abundant number, since it is smaller than the sum of its proper divisors (19243531998400).

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

12314121320000 is an equidigital number, since it uses as much as digits as its factorization.

12314121320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12314121320000 its reverse (2312141321), we get a palindrome (12316433461321).

The spelling of 12314121320000 in words is "twelve trillion, three hundred fourteen billion, one hundred twenty-one million, three hundred twenty thousand".