Search a number
-
+
12123120 = 243550513
BaseRepresentation
bin101110001111…
…101111110000
3211210220210110
4232033233300
511100414440
61111501320
7205021242
oct56175760
924726713
1012123120
116930309
124087840
132686059
141878092
1510e7080
hexb8fbf0

12123120 has 40 divisors (see below), whose sum is σ = 37582416. Its totient is φ = 3232768.

The previous prime is 12123107. The next prime is 12123151. The reversal of 12123120 is 2132121.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 12123096 and 12123105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25017 + ... + 25496.

Almost surely, 212123120 is an apocalyptic number.

12123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123120 is an abundant number, since it is smaller than the sum of its proper divisors (25459296).

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

12123120 is a wasteful number, since it uses less digits than its factorization.

12123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50529 (or 50523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12123120 is about 3481.8271065634. The cubic root of 12123120 is about 229.7231704053.

Adding to 12123120 its reverse (2132121), we get a palindrome (14255241).

Subtracting from 12123120 its reverse (2132121), we obtain a palindrome (9990999).

The spelling of 12123120 in words is "twelve million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50513 101026 151539 202052 252565 303078 404104 505130 606156 757695 808208 1010260 1212312 1515390 2020520 2424624 3030780 4041040 6061560 12123120