120312825 has 48 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 59960320.

The previous prime is 120312823. The next prime is 120312827. The reversal of 120312825 is 528213021.

It is an interprime number because it is at equal distance from previous prime (120312823) and next prime (120312827).

It is not a de Polignac number, because 120312825 - 2¹ = 120312823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120312795 and 120312804.

It is not an unprimeable number, because it can be changed into a prime (120312821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250936 + ... + 251414.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^120312825 is an apocalyptic number.

120312825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120312825 is a deficient number, since it is larger than the sum of its proper divisors (91816455).

120312825 is a wasteful number, since it uses less digits than its factorization.

120312825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 120312825 is about 10968.7202991051. The cubic root of 120312825 is about 493.6706500696.

Adding to 120312825 its reverse (528213021), we get a palindrome (648525846).

It can be divided in two parts, 1203 and 12825, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 120312825 in words is "one hundred twenty million, three hundred twelve thousand, eight hundred twenty-five".