125120333 has 24 divisors (see below), whose sum is σ = 140917320. Its totient is φ = 110972160.

The previous prime is 125120311. The next prime is 125120341. The reversal of 125120333 is 333021521.

It can be written as a sum of positive squares in 12 ways, for example, as 53260804 + 71859529 = 7298^2 + 8477^2 .

It is not a de Polignac number, because 125120333 - 2⁸ = 125120077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125120363) 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 23 ways as a sum of consecutive naturals, for example, 546263 + ... + 546491.

It is an arithmetic number, because the mean of its divisors is an integer number (5871555).

Almost surely, 2^125120333 is an apocalyptic number.

125120333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125120333 is a deficient number, since it is larger than the sum of its proper divisors (15796987).

125120333 is a wasteful number, since it uses less digits than its factorization.

125120333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 125120333 is about 11185.7200483474. The cubic root of 125120333 is about 500.1603925430.

Adding to 125120333 its reverse (333021521), we get a palindrome (458141854).

The spelling of 125120333 in words is "one hundred twenty-five million, one hundred twenty thousand, three hundred thirty-three".