120210144 has 48 divisors (see below), whose sum is σ = 329277312. Its totient is φ = 38327168.

The previous prime is 120210143. The next prime is 120210149. The reversal of 120210144 is 441012021.

120210144 = 138² + 139² + ... + 713².

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210143) 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 7 ways as a sum of consecutive naturals, for example, 25014 + ... + 29429.

It is an arithmetic number, because the mean of its divisors is an integer number (6859944).

Almost surely, 2^120210144 is an apocalyptic number.

It is an amenable number.

120210144 is an abundant number, since it is smaller than the sum of its proper divisors (209067168).

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

120210144 is a wasteful number, since it uses less digits than its factorization.

120210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54479 (or 54471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120210144 is about 10964.0386719493. The cubic root of 120210144 is about 493.5301689987.

Adding to 120210144 its reverse (441012021), we get a palindrome (561222165).

The spelling of 120210144 in words is "one hundred twenty million, two hundred ten thousand, one hundred forty-four".