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12531012 = 22313237167
BaseRepresentation
bin101111110011…
…010101000100
3212120122022120
4233303111010
511201443022
61124325540
7211340364
oct57632504
925518276
1012531012
11708980a
1242438b0
132799900
1419429a4
151177d5c
hexbf3544

12531012 has 72 divisors (see below), whose sum is σ = 32711616. Its totient is φ = 3729024.

The previous prime is 12531007. The next prime is 12531019. The reversal of 12531012 is 21013521.

It is a junction number, because it is equal to n+sod(n) for n = 12530982 and 12531000.

It is not an unprimeable number, because it can be changed into a prime (12531019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74953 + ... + 75119.

It is an arithmetic number, because the mean of its divisors is an integer number (454328).

Almost surely, 212531012 is an apocalyptic number.

12531012 is a gapful number since it is divisible by the number (12) 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 12531012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355808).

12531012 is an abundant number, since it is smaller than the sum of its proper divisors (20180604).

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

12531012 is a wasteful number, since it uses less digits than its factorization.

12531012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12531012 is about 3539.9169481783. The cubic root of 12531012 is about 232.2712097822.

Adding to 12531012 its reverse (21013521), we get a palindrome (33544533).

The spelling of 12531012 in words is "twelve million, five hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 167 169 222 334 338 444 481 501 507 668 676 962 1002 1014 1443 1924 2004 2028 2171 2886 4342 5772 6179 6253 6513 8684 12358 12506 13026 18537 18759 24716 25012 26052 28223 37074 37518 56446 74148 75036 80327 84669 112892 160654 169338 240981 321308 338676 481962 963924 1044251 2088502 3132753 4177004 6265506 12531012