Search a number
BaseRepresentation
bin101110001010…
…100101111100
3211202211211200
4232022211330
511044231022
61111215500
7204602556
oct56124574
924684750
1012102012
11691646a
124077590
132679570
1418704d6
1510e0bac
hexb8a97c

12102012 has 72 divisors (see below), whose sum is σ = 34703760. Its totient is φ = 3525120.

The previous prime is 12102001. The next prime is 12102017. The reversal of 12102012 is 21020121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12101985 and 12102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102017) 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, 8212 + ... + 9572.

Almost surely, 212102012 is an apocalyptic number.

12102012 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 12102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351880).

12102012 is an abundant number, since it is smaller than the sum of its proper divisors (22601748).

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

12102012 is a wasteful number, since it uses less digits than its factorization.

12102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12102012 is about 3478.7946188299. The cubic root of 12102012 is about 229.5897665274.

Adding to 12102012 its reverse (21020121), we get a palindrome (33122133).

The spelling of 12102012 in words is "twelve million, one hundred two thousand, twelve".