120213333 has 12 divisors (see below), whose sum is σ = 178334988. Its totient is φ = 77976000.

The previous prime is 120213293. The next prime is 120213347. The reversal of 120213333 is 333312021.

120213333 is a `hidden beast` number, since 120 + 213 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71520849 + 48692484 = 8457^2 + 6978^2 .

It is not a de Polignac number, because 120213333 - 2²⁰ = 119164757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120213833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180168 + ... + 180833.

It is an arithmetic number, because the mean of its divisors is an integer number (14861249).

Almost surely, 2^120213333 is an apocalyptic number.

It is an amenable number.

120213333 is a deficient number, since it is larger than the sum of its proper divisors (58121655).

120213333 is a wasteful number, since it uses less digits than its factorization.

120213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361044 (or 361041 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 120213333 is about 10964.1841009717. The cubic root of 120213333 is about 493.5345331722.

Adding to 120213333 its reverse (333312021), we get a palindrome (453525354).

It can be divided in two parts, 120213 and 333, that multiplied together give a square (40030929 = 6327²).

The spelling of 120213333 in words is "one hundred twenty million, two hundred thirteen thousand, three hundred thirty-three".