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12102120 = 2332533617
BaseRepresentation
bin101110001010…
…100111101000
3211202211222200
4232022213220
511044231440
61111220200
7204603102
oct56124750
924684880
1012102120
116916558
124077660
132679624
141870572
1510e0c30
hexb8a9e8

12102120 has 48 divisors (see below), whose sum is σ = 39333060. Its totient is φ = 3227136.

The previous prime is 12102091. The next prime is 12102127. The reversal of 12102120 is 2120121.

12102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11168964 + 933156 = 3342^2 + 966^2 .

It is a super-2 number, since 2×121021202 = 292922616988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12102127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16449 + ... + 17168.

Almost surely, 212102120 is an apocalyptic number.

12102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102120 is an abundant number, since it is smaller than the sum of its proper divisors (27230940).

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

12102120 is a wasteful number, since it uses less digits than its factorization.

12102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33634 (or 33627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12102120 is about 3478.8101414133. The cubic root of 12102120 is about 229.5904494888.

Adding to 12102120 its reverse (2120121), we get a palindrome (14222241).

The spelling of 12102120 in words is "twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33617 67234 100851 134468 168085 201702 268936 302553 336170 403404 504255 605106 672340 806808 1008510 1210212 1344680 1512765 2017020 2420424 3025530 4034040 6051060 12102120