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12240120 = 2335102001
BaseRepresentation
bin101110101100…
…010011111000
3212000212021210
4232230103320
511113140440
61114203120
7206016324
oct56542370
925025253
1012240120
116a00202
1241234a0
1326c7399
1418a8984
15111ba80
hexbac4f8

12240120 has 32 divisors (see below), whose sum is σ = 36720720. Its totient is φ = 3264000.

The previous prime is 12240091. The next prime is 12240121. The reversal of 12240120 is 2104221.

It is a super-2 number, since 2×122401202 = 299641075228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12240096 and 12240105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240121) 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 7 ways as a sum of consecutive naturals, for example, 50881 + ... + 51120.

Almost surely, 212240120 is an apocalyptic number.

12240120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240120 is an abundant number, since it is smaller than the sum of its proper divisors (24480600).

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

12240120 is a wasteful number, since it uses less digits than its factorization.

12240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102015 (or 102011 counting only the distinct ones).

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

The square root of 12240120 is about 3498.5882867237. The cubic root of 12240120 is about 230.4598236340.

Adding to 12240120 its reverse (2104221), we get a palindrome (14344341).

The spelling of 12240120 in words is "twelve million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 102001 204002 306003 408004 510005 612006 816008 1020010 1224012 1530015 2040020 2448024 3060030 4080040 6120060 12240120