120015 has 32 divisors (see below), whose sum is σ = 245760. Its totient is φ = 54432.

The previous prime is 120011. The next prime is 120017. The reversal of 120015 is 510021.

120015 = 86² + 87² + ... + 99².

It is a happy number.

It is not a de Polignac number, because 120015 - 2² = 120011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 119979 and 120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (7680).

2¹²⁰⁰¹⁵ is an apocalyptic number.

120015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120015 is an abundant number, since it is smaller than the sum of its proper divisors (125745).

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

120015 is a wasteful number, since it uses less digits than its factorization.

120015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 120015 is about 346.4318114723. The cubic root of 120015 is about 49.3262965777.

Adding to 120015 its reverse (510021), we get a palindrome (630036).

The spelling of 120015 in words is "one hundred twenty thousand, fifteen".