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12120 = 2335101
BaseRepresentation
bin10111101011000
3121121220
42331120
5341440
6132040
750223
oct27530
917556
1012120
119119
127020
135694
1445ba
1538d0
hex2f58

12120 has 32 divisors (see below), whose sum is σ = 36720. Its totient is φ = 3200.

The previous prime is 12119. The next prime is 12143. The reversal of 12120 is 2121.

Adding to 12120 its reverse (2121), we get a palindrome (14241).

Subtracting from 12120 its reverse (2121), we obtain a palindrome (9999).

It can be divided in two parts, 121 and 20, that added together give a palindrome (141).

12120 = T51 + T52 + ... + T58.

It is a happy number.

12120 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 12099 and 12108.

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, 70 + ... + 170.

212120 is an apocalyptic number.

12120 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 12120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360).

12120 is an abundant number, since it is smaller than the sum of its proper divisors (24600).

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

12120 is a wasteful number, since it uses less digits than its factorization.

12120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12120 is about 110.0908715562. The cubic root of 12120 is about 22.9703461568.

The spelling of 12120 in words is "twelve thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120