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4212012 = 2237411223
BaseRepresentation
bin10000000100010100101100
321220222210110
4100010110230
52034241022
6230140020
750541630
oct20042454
97828713
104212012
112417602
1214b1610
13b4621c
147b8dc0
1558300c
hex40452c

4212012 has 48 divisors (see below), whose sum is σ = 11515392. Its totient is φ = 1173120.

The previous prime is 4211993. The next prime is 4212023. The reversal of 4212012 is 2102124.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2833 + ... + 4055.

It is an arithmetic number, because the mean of its divisors is an integer number (239904).

Almost surely, 24212012 is an apocalyptic number.

4212012 is a gapful number since it is divisible by the number (42) 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 4212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757696).

4212012 is an abundant number, since it is smaller than the sum of its proper divisors (7303380).

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

4212012 is a wasteful number, since it uses less digits than its factorization.

4212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4212012 is about 2052.3186887031. The cubic root of 4212012 is about 161.4965317304.

Adding to 4212012 its reverse (2102124), we get a palindrome (6314136).

The spelling of 4212012 in words is "four million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1223 1722 2446 3444 3669 4892 7338 8561 14676 17122 25683 34244 50143 51366 100286 102732 150429 200572 300858 351001 601716 702002 1053003 1404004 2106006 4212012