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12122424 = 23321011667
BaseRepresentation
bin101110001111…
…100100111000
3211210212211200
4232033210320
511100404144
61111454200
7205016226
oct56174470
924725750
1012122424
11692a836
124087360
132685942
141877b16
1510e6c69
hexb8f938

12122424 has 48 divisors (see below), whose sum is σ = 33176520. Its totient is φ = 3998400.

The previous prime is 12122419. The next prime is 12122443. The reversal of 12122424 is 42422121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12122397 and 12122406.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6439 + ... + 8105.

Almost surely, 212122424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588260).

12122424 is an abundant number, since it is smaller than the sum of its proper divisors (21054096).

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

12122424 is a wasteful number, since it uses less digits than its factorization.

12122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1773 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12122424 is about 3481.7271576044. The cubic root of 12122424 is about 229.7187741117.

Adding to 12122424 its reverse (42422121), we get a palindrome (54544545).

The spelling of 12122424 in words is "twelve million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1667 1818 2424 3334 3636 5001 6668 7272 10002 13336 15003 20004 30006 40008 60012 120024 168367 336734 505101 673468 1010202 1346936 1515303 2020404 3030606 4040808 6061212 12122424