123531120 has 60 divisors (see below), whose sum is σ = 414861096. Its totient is φ = 32941440.

The previous prime is 123531101. The next prime is 123531127. The reversal of 123531120 is 21135321.

123531120 is a `hidden beast` number, since 12 + 3 + 531 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123531093 and 123531102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123531127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85066 + ... + 86505.

Almost surely, 2^123531120 is an apocalyptic number.

123531120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123531120 is an abundant number, since it is smaller than the sum of its proper divisors (291329976).

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

123531120 is a wasteful number, since it uses less digits than its factorization.

123531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171590 (or 171581 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 123531120 is about 11114.4554522478. The cubic root of 123531120 is about 498.0337713586.

Adding to 123531120 its reverse (21135321), we get a palindrome (144666441).

The spelling of 123531120 in words is "one hundred twenty-three million, five hundred thirty-one thousand, one hundred twenty".