120333213 has 144 divisors (see below), whose sum is σ = 252959616. Its totient is φ = 53187840.

The previous prime is 120333211. The next prime is 120333233. The reversal of 120333213 is 312333021.

120333213 is a `hidden beast` number, since 120 + 333 + 213 = 666.

It is not a de Polignac number, because 120333213 - 2¹ = 120333211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120333211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3252231 + ... + 3252267.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 2^120333213 is an apocalyptic number.

120333213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120333213 is an abundant number, since it is smaller than the sum of its proper divisors (132626403).

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

120333213 is a wasteful number, since it uses less digits than its factorization.

120333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

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

The square root of 120333213 is about 10969.6496297740. The cubic root of 120333213 is about 493.6985340150.

Adding to 120333213 its reverse (312333021), we get a palindrome (432666234).

It can be divided in two parts, 120 and 333213, that added together give a palindrome (333333).

The spelling of 120333213 in words is "one hundred twenty million, three hundred thirty-three thousand, two hundred thirteen".