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12130344000 = 26335389631
BaseRepresentation
bin10110100110000011…
…00101110001000000
31011022101101022201000
423103001211301000
5144320332002000
65323403212000
7606413136255
oct132301456100
934271338630
1012130344000
115165298a95
122426517000
1311b4170a58
1483106b42c
154aee1b000
hex2d3065c40

12130344000 has 448 divisors, whose sum is σ = 45076262400. Its totient is φ = 3193344000.

The previous prime is 12130343993. The next prime is 12130344013. The reversal of 12130344000 is 44303121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19223685 + ... + 19224315.

Almost surely, 212130344000 is an apocalyptic number.

12130344000 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 12130344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538131200).

12130344000 is an abundant number, since it is smaller than the sum of its proper divisors (32945918400).

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

12130344000 is an equidigital number, since it uses as much as digits as its factorization.

12130344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12130344000 its reverse (44303121), we get a palindrome (12174647121).

The spelling of 12130344000 in words is "twelve billion, one hundred thirty million, three hundred forty-four thousand".