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12345000225 = 35210111171459
BaseRepresentation
bin10110111111101000…
…11100000100100001
31011212100021222200120
423133310130010201
5200240310001400
65400552110453
7614630525205
oct133764340441
934770258616
1012345000225
115265481428
122486395429
13121978a07c
14851786b05
154c3bbcca0
hex2dfd1c121

12345000225 has 48 divisors (see below), whose sum is σ = 20645077440. Its totient is φ = 6508512000.

The previous prime is 12345000181. The next prime is 12345000229. The reversal of 12345000225 is 52200054321.

12345000225 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 12345000225 - 27 = 12345000097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12345000195 and 12345000204.

It is not an unprimeable number, because it can be changed into a prime (12345000229) 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 47 ways as a sum of consecutive naturals, for example, 8460546 + ... + 8462004.

It is an arithmetic number, because the mean of its divisors is an integer number (430105780).

Almost surely, 212345000225 is an apocalyptic number.

12345000225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12345000225 is a deficient number, since it is larger than the sum of its proper divisors (8300077215).

12345000225 is a wasteful number, since it uses less digits than its factorization.

12345000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 12345000225 its reverse (52200054321), we get a palindrome (64545054546).

The spelling of 12345000225 in words is "twelve billion, three hundred forty-five million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 15 25 75 101 303 505 1117 1459 1515 2525 3351 4377 5585 7295 7575 16755 21885 27925 36475 83775 109425 112817 147359 338451 442077 564085 736795 1629703 1692255 2210385 2820425 3683975 4889109 8148515 8461275 11051925 24445545 40742575 122227725 164600003 493800009 823000015 2469000045 4115000075 12345000225