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12420012 = 22311372543
BaseRepresentation
bin101111011000…
…001110101100
3212101000001110
4233120032230
511134420022
61122112020
7210365643
oct57301654
925330043
1012420012
117013380
1241ab610
13275b227
14191435a
15115500c
hexbd83ac

12420012 has 48 divisors (see below), whose sum is σ = 32481792. Its totient is φ = 3660480.

The previous prime is 12420011. The next prime is 12420017. The reversal of 12420012 is 21002421.

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 12420012.

It is not an unprimeable number, because it can be changed into a prime (12420011) 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 15 ways as a sum of consecutive naturals, for example, 3613 + ... + 6155.

It is an arithmetic number, because the mean of its divisors is an integer number (676704).

Almost surely, 212420012 is an apocalyptic number.

12420012 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 12420012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240896).

12420012 is an abundant number, since it is smaller than the sum of its proper divisors (20061780).

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

12420012 is a wasteful number, since it uses less digits than its factorization.

12420012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2596 counting only the distinct ones).

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

The square root of 12420012 is about 3524.2037398539. The cubic root of 12420012 is about 231.5833534648.

Adding to 12420012 its reverse (21002421), we get a palindrome (33422433).

It can be divided in two parts, 12 and 420012, that added together give a palindrome (420024).

The spelling of 12420012 in words is "twelve million, four hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 2543 4884 5086 7629 10172 15258 27973 30516 55946 83919 94091 111892 167838 188182 282273 335676 376364 564546 1035001 1129092 2070002 3105003 4140004 6210006 12420012