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12302122120 = 235307553053
BaseRepresentation
bin10110111010100001…
…10111110010001000
31011202100121112222121
423131100313302020
5200143320401440
65352421101024
7613600212151
oct133520676210
934670545877
1012302122120
115243255482
122473b57774
131210926502
14849bc4928
154c004d34a
hex2dd437c88

12302122120 has 16 divisors (see below), whose sum is σ = 27679774860. Its totient is φ = 4920848832.

The previous prime is 12302122087. The next prime is 12302122159. The reversal of 12302122120 is 2122120321.

It is a happy number.

12302122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12275310436 + 26811684 = 110794^2 + 5178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12302122094 and 12302122103.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 153776487 + ... + 153776566.

Almost surely, 212302122120 is an apocalyptic number.

12302122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302122120 is an abundant number, since it is smaller than the sum of its proper divisors (15377652740).

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

12302122120 is a wasteful number, since it uses less digits than its factorization.

12302122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307553064 (or 307553060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12302122120 its reverse (2122120321), we get a palindrome (14424242441).

The spelling of 12302122120 in words is "twelve billion, three hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 307553053 615106106 1230212212 1537765265 2460424424 3075530530 6151061060 12302122120