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12299392800 = 25325213072
BaseRepresentation
bin10110111010001100…
…11101011100100000
31011202011110220001200
423131012131130200
5200142121032200
65352242401200
7613535054022
oct133506353440
934664426050
1012299392800
115241760942
122473060200
1312101ac126
148496b4012
154bebae800
hex2dd19d720

12299392800 has 162 divisors, whose sum is σ = 43403942673. Its totient is φ = 3277328640.

The previous prime is 12299392799. The next prime is 12299392801. The reversal of 12299392800 is 829399221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12299392800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12299392799) and next prime (12299392801).

It can be written as a sum of positive squares in 2 ways, for example, as 12053404944 + 245987856 = 109788^2 + 15684^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78420.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12299392801) 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 26 ways as a sum of consecutive naturals, for example, 9409747 + ... + 9411053.

Almost surely, 212299392800 is an apocalyptic number.

12299392800 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 12299392800

12299392800 is an abundant number, since it is smaller than the sum of its proper divisors (31104549873).

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

12299392800 is an equidigital number, since it uses as much as digits as its factorization.

12299392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 12299392800 in words is "twelve billion, two hundred ninety-nine million, three hundred ninety-two thousand, eight hundred".