123407120 has 20 divisors (see below), whose sum is σ = 286921740. Its totient is φ = 49362816.

The previous prime is 123407117. The next prime is 123407203. The reversal of 123407120 is 21704321.

It can be written as a sum of positive squares in 2 ways, for example, as 98327056 + 25080064 = 9916^2 + 5008^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123407092 and 123407101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 771215 + ... + 771374.

It is an arithmetic number, because the mean of its divisors is an integer number (14346087).

Almost surely, 2^123407120 is an apocalyptic number.

123407120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123407120 is an abundant number, since it is smaller than the sum of its proper divisors (163514620).

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

123407120 is a wasteful number, since it uses less digits than its factorization.

123407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542602 (or 1542596 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 123407120 is about 11108.8757306939. The cubic root of 123407120 is about 497.8670741930.

The spelling of 123407120 in words is "one hundred twenty-three million, four hundred seven thousand, one hundred twenty".