120142125 has 48 divisors (see below), whose sum is σ = 217928880. Its totient is φ = 63676800.

The previous prime is 120142117. The next prime is 120142147. The reversal of 120142125 is 521241021.

It can be written as a sum of positive squares in 8 ways, for example, as 59629284 + 60512841 = 7722^2 + 7779^2 .

It is not a de Polignac number, because 120142125 - 2³ = 120142117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120142098 and 120142107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302427 + ... + 302823.

It is an arithmetic number, because the mean of its divisors is an integer number (4540185).

Almost surely, 2^120142125 is an apocalyptic number.

120142125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120142125 is a deficient number, since it is larger than the sum of its proper divisors (97786755).

120142125 is a wasteful number, since it uses less digits than its factorization.

120142125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120142125 is about 10960.9363194939. The cubic root of 120142125 is about 493.4370660347.

Adding to 120142125 its reverse (521241021), we get a palindrome (641383146).

The spelling of 120142125 in words is "one hundred twenty million, one hundred forty-two thousand, one hundred twenty-five".