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12312330240 = 21435717421
BaseRepresentation
bin10110111011101111…
…10100000000000000
31011210001211011220010
423131313310000000
5200203424031430
65353423544520
7614053036350
oct133567640000
934701734803
1012312330240
115248a97a41
12247745b140
131212a8ba12
1484b2c0b60
154c0db7cb0
hex2dddf4000

12312330240 has 480 divisors, whose sum is σ = 47788441344. Its totient is φ = 2642411520.

The previous prime is 12312330229. The next prime is 12312330253. The reversal of 12312330240 is 4203321321.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29245230 + ... + 29245650.

Almost surely, 212312330240 is an apocalyptic number.

12312330240 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 12312330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894220672).

12312330240 is an abundant number, since it is smaller than the sum of its proper divisors (35476111104).

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

12312330240 is an equidigital number, since it uses as much as digits as its factorization.

12312330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12312330240 its reverse (4203321321), we get a palindrome (16515651561).

The spelling of 12312330240 in words is "twelve billion, three hundred twelve million, three hundred thirty thousand, two hundred forty".