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12144120 = 2335175953
BaseRepresentation
bin101110010100…
…110111111000
3211211222121020
4232110313320
511102102440
61112142440
7205136412
oct56246770
924758536
1012144120
11694506a
124097a20
132692791
1418819b2
1510ed3d0
hexb94df8

12144120 has 64 divisors (see below), whose sum is σ = 38581920. Its totient is φ = 3047424.

The previous prime is 12144113. The next prime is 12144131. The reversal of 12144120 is 2144121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12144120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937 + ... + 5016.

Almost surely, 212144120 is an apocalyptic number.

12144120 is a gapful number since it is divisible by the number (10) 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 12144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290960).

12144120 is an abundant number, since it is smaller than the sum of its proper divisors (26437800).

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

12144120 is a wasteful number, since it uses less digits than its factorization.

12144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5980 counting only the distinct ones).

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

The square root of 12144120 is about 3484.8414598085. The cubic root of 12144120 is about 229.8557381416.

Adding to 12144120 its reverse (2144121), we get a palindrome (14288241).

Subtracting from 12144120 its reverse (2144121), we obtain a palindrome (9999999).

The spelling of 12144120 in words is "twelve million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 5953 11906 17859 23812 29765 35718 47624 59530 71436 89295 101201 119060 142872 178590 202402 238120 303603 357180 404804 506005 607206 714360 809608 1012010 1214412 1518015 2024020 2428824 3036030 4048040 6072060 12144120