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12303412000 = 2553111914717
BaseRepresentation
bin10110111010101011…
…10010101100100000
31011202110001002100221
423131111302230200
5200144133141000
65352504452424
7613614163555
oct133525625440
934673032327
1012303412000
115243a565a0
12247447a114
131210c88659
1484a03ca2c
154c020561a
hex2dd572b20

12303412000 has 192 divisors, whose sum is σ = 34715640960. Its totient is φ = 4238208000.

The previous prime is 12303411959. The next prime is 12303412007. The reversal of 12303412000 is 21430321.

It is a happy number.

12303412000 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 (16).

It is not an unprimeable number, because it can be changed into a prime (12303412007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828642 + ... + 843358.

It is an arithmetic number, because the mean of its divisors is an integer number (180810630).

Almost surely, 212303412000 is an apocalyptic number.

12303412000 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 12303412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357820480).

12303412000 is an abundant number, since it is smaller than the sum of its proper divisors (22412228960).

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

12303412000 is a wasteful number, since it uses less digits than its factorization.

12303412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12303412000 its reverse (21430321), we get a palindrome (12324842321).

The spelling of 12303412000 in words is "twelve billion, three hundred three million, four hundred twelve thousand".