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12330012 = 22319411319
BaseRepresentation
bin101111000010…
…010000011100
3212012102121010
4233002100130
511124030022
61120135220
7206542362
oct57022034
925172533
1012330012
116a617a2
124167510
132729286
1418cd632
15113850c
hexbc241c

12330012 has 48 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 3795840.

The previous prime is 12330011. The next prime is 12330023. The reversal of 12330012 is 21003321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8689 + ... + 10007.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 212330012 is an apocalyptic number.

12330012 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 12330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

12330012 is an abundant number, since it is smaller than the sum of its proper divisors (18716388).

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

12330012 is a wasteful number, since it uses less digits than its factorization.

12330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12330012 is about 3511.4116819308. The cubic root of 12330012 is about 231.0226173016.

Adding to 12330012 its reverse (21003321), we get a palindrome (33333333).

It can be divided in two parts, 123 and 30012, that added together give a triangular number (30135 = T245).

The spelling of 12330012 in words is "twelve million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1319 1558 2337 2638 3116 3957 4674 5276 7914 9348 15828 25061 50122 54079 75183 100244 108158 150366 162237 216316 300732 324474 648948 1027501 2055002 3082503 4110004 6165006 12330012