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13212012 = 22311101991
BaseRepresentation
bin110010011001…
…100101101100
3220212020110210
4302121211230
511340241022
61151102420
7220204662
oct62314554
926766423
1013212012
117504420
124511a10
132977878
141a7cc32
15125ea0c
hexc9996c

13212012 has 48 divisors (see below), whose sum is σ = 33997824. Its totient is φ = 3960000.

The previous prime is 13212007. The next prime is 13212013. The reversal of 13212012 is 21021231.

13212012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132120122 = 349114522176288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212013) 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, 12837 + ... + 13827.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 213212012 is an apocalyptic number.

13212012 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 13212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912).

13212012 is an abundant number, since it is smaller than the sum of its proper divisors (20785812).

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

13212012 is a wasteful number, since it uses less digits than its factorization.

13212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13212012 is about 3634.8331461018. The cubic root of 13212012 is about 236.4048160814.

Adding to 13212012 its reverse (21021231), we get a palindrome (34233243).

It can be divided in two parts, 1321 and 2012, that added together give a palindrome (3333).

The spelling of 13212012 in words is "thirteen million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 991 1111 1212 1982 2222 2973 3333 3964 4444 5946 6666 10901 11892 13332 21802 32703 43604 65406 100091 130812 200182 300273 400364 600546 1101001 1201092 2202002 3303003 4404004 6606006 13212012