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12324201340 = 225111729199571
BaseRepresentation
bin10110111101001010…
…00110001101111100
31011210220011021222111
423132211012031330
5200214443420330
65354530223404
7614255661103
oct133645061574
934726137874
1012324201340
115254765970
12247b424b64
131215387139
1484cad103a
154c1e6032a
hex2de94637c

12324201340 has 192 divisors, whose sum is σ = 31135104000. Its totient is φ = 4044902400.

The previous prime is 12324201313. The next prime is 12324201347. The reversal of 12324201340 is 4310242321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324201347) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21583255 + ... + 21583825.

It is an arithmetic number, because the mean of its divisors is an integer number (162162000).

Almost surely, 212324201340 is an apocalyptic number.

12324201340 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 12324201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552000).

12324201340 is an abundant number, since it is smaller than the sum of its proper divisors (18810902660).

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

12324201340 is a wasteful number, since it uses less digits than its factorization.

12324201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12324201340 its reverse (4310242321), we get a palindrome (16634443661).

The spelling of 12324201340 in words is "twelve billion, three hundred twenty-four million, two hundred one thousand, three hundred forty".