126120 has 32 divisors (see below), whose sum is σ = 378720. Its totient is φ = 33600.

The previous prime is 126107. The next prime is 126127. The reversal of 126120 is 21621.

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 = 126096 and 126105.

It is not an unprimeable number, because it can be changed into a prime (126127) by changing a digit.

126120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (11835).

2¹²⁶¹²⁰ is an apocalyptic number.

126120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126120 is an abundant number, since it is smaller than the sum of its proper divisors (252600).

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

126120 is a wasteful number, since it uses less digits than its factorization.

126120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1061 counting only the distinct ones).

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

The square root of 126120 is about 355.1337776106. The cubic root of 126120 is about 50.1488895314.

Adding to 126120 its reverse (21621), we get a palindrome (147741).

The spelling of 126120 in words is "one hundred twenty-six thousand, one hundred twenty".