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12122124 = 2237144311
BaseRepresentation
bin101110001111…
…100000001100
3211210212102120
4232033200030
511100401444
61111452540
7205015320
oct56174014
924725376
1012122124
11692a593
124087150
132685771
141877980
1510e6b19
hexb8f80c

12122124 has 24 divisors (see below), whose sum is σ = 32325888. Its totient is φ = 3463440.

The previous prime is 12122119. The next prime is 12122153. The reversal of 12122124 is 42122121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72072 + ... + 72239.

It is an arithmetic number, because the mean of its divisors is an integer number (1346912).

Almost surely, 212122124 is an apocalyptic number.

12122124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12122124 is an abundant number, since it is smaller than the sum of its proper divisors (20203764).

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

12122124 is a wasteful number, since it uses less digits than its factorization.

12122124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144325 (or 144323 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 12122124 is about 3481.6840752716. The cubic root of 12122124 is about 229.7168791056.

Adding to 12122124 its reverse (42122121), we get a palindrome (54244245).

It can be divided in two parts, 12122 and 124, that added together give a triangular number (12246 = T156).

The spelling of 12122124 in words is "twelve million, one hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 144311 288622 432933 577244 865866 1010177 1731732 2020354 3030531 4040708 6061062 12122124