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12126185825 = 5213972111823
BaseRepresentation
bin10110100101100011…
…01110100101100001
31011022002120001202112
423102301232211201
5144313300421300
65323134125105
7606332610305
oct132261564541
934262501675
1012126185825
115162a08986
122425050795
1311b33461b0
148306a7d05
154ae898e35
hex2d2c6e961

12126185825 has 48 divisors (see below), whose sum is σ = 16446614016. Its totient is φ = 8815564800.

The previous prime is 12126185801. The next prime is 12126185843. The reversal of 12126185825 is 52858162121.

12126185825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12126185825 - 210 = 12126184801 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 6650864 + ... + 6652686.

It is an arithmetic number, because the mean of its divisors is an integer number (342637792).

Almost surely, 212126185825 is an apocalyptic number.

It is an amenable number.

12126185825 is a deficient number, since it is larger than the sum of its proper divisors (4320428191).

12126185825 is a wasteful number, since it uses less digits than its factorization.

12126185825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2149 counting only the distinct ones).

The product of its digits is 76800, while the sum is 41.

The spelling of 12126185825 in words is "twelve billion, one hundred twenty-six million, one hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 97 211 325 485 1055 1261 1823 2425 2743 5275 6305 9115 13715 20467 23699 31525 45575 68575 102335 118495 176831 266071 384653 511675 592475 884155 1330355 1923265 2298803 4420775 5000489 6651775 9616325 11494015 25002445 37311341 57470075 125012225 186556705 485047433 932783525 2425237165 12126185825