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12311400000 = 2635517271
BaseRepresentation
bin10110111011101000…
…10000111001000000
31011210000001220211210
423131310100321000
5200203204300000
65353352010120
7614042113314
oct133564207100
934700056753
1012311400000
115248512049
122477090940
131212824493
1484b11bb44
154c0c82350
hex2ddd10e40

12311400000 has 504 divisors, whose sum is σ = 43859817792. Its totient is φ = 3046400000.

The previous prime is 12311399981. The next prime is 12311400001. The reversal of 12311400000 is 411321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12311400001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173399965 + ... + 173400035.

It is an arithmetic number, because the mean of its divisors is an integer number (87023448).

Almost surely, 212311400000 is an apocalyptic number.

12311400000 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 12311400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21929908896).

12311400000 is an abundant number, since it is smaller than the sum of its proper divisors (31548417792).

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

12311400000 is an frugal number, since it uses more digits than its factorization.

12311400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12311400000 its reverse (411321), we get a palindrome (12311811321).

The spelling of 12311400000 in words is "twelve billion, three hundred eleven million, four hundred thousand".