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12000212325 = 3252297125903
BaseRepresentation
bin10110010110100010…
…01011010101100101
31010222022111221121100
423023101023111211
5144034023243300
65302434110313
7603243056523
oct131321132545
933868457540
1012000212325
1150a8897152
1223aaa1b399
13119320a36a
1481ba75313
154a37b3700
hex2cb44b565

12000212325 has 72 divisors (see below), whose sum is σ = 22548913920. Its totient is φ = 6092150400.

The previous prime is 12000212317. The next prime is 12000212327. The reversal of 12000212325 is 52321200021.

12000212325 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 12000212325 - 23 = 12000212317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000212298 and 12000212307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000212327) 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 71 ways as a sum of consecutive naturals, for example, 450324 + ... + 476226.

It is an arithmetic number, because the mean of its divisors is an integer number (313179360).

Almost surely, 212000212325 is an apocalyptic number.

12000212325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12000212325 is a deficient number, since it is larger than the sum of its proper divisors (10548701595).

12000212325 is a wasteful number, since it uses less digits than its factorization.

12000212325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26019 (or 26011 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12000212325 its reverse (52321200021), we get a palindrome (64321412346).

The spelling of 12000212325 in words is "twelve billion, two hundred twelve thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 71 75 87 145 213 225 261 355 435 639 725 1065 1305 1775 2059 2175 3195 5325 6177 6525 10295 15975 18531 25903 30885 51475 77709 92655 129515 154425 233127 388545 463275 647575 751187 1165635 1839113 1942725 2253561 3755935 5517339 5828175 6760683 9195565 11267805 16552017 18779675 27586695 33803415 45977825 53334277 56339025 82760085 137933475 160002831 169017075 266671385 413800425 480008493 800014155 1333356925 2400042465 4000070775 12000212325