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12302430120 = 23335176773137
BaseRepresentation
bin10110111010100100…
…00010111110101000
31011202101012012111000
423131102002332220
5200143410230440
65352431435000
7613602634131
oct133522027650
934671165430
1012302430120
115243445922
122474085a60
131210a03766
14849c64c88
154c00ae730
hex2dd482fa8

12302430120 has 512 divisors, whose sum is σ = 44998156800. Its totient is φ = 2978021376.

The previous prime is 12302430113. The next prime is 12302430131. The reversal of 12302430120 is 2103420321.

12302430120 is a `hidden beast` number, since 1 + 230 + 2 + 430 + 1 + 2 + 0 = 666.

12302430120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12302430093 and 12302430102.

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 127 ways as a sum of consecutive naturals, for example, 89798692 + ... + 89798828.

It is an arithmetic number, because the mean of its divisors is an integer number (87887025).

Almost surely, 212302430120 is an apocalyptic number.

12302430120 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 12302430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499078400).

12302430120 is an abundant number, since it is smaller than the sum of its proper divisors (32695726680).

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

12302430120 is a wasteful number, since it uses less digits than its factorization.

12302430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

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

Adding to 12302430120 its reverse (2103420321), we get a palindrome (14405850441).

The spelling of 12302430120 in words is "twelve billion, three hundred two million, four hundred thirty thousand, one hundred twenty".