120240252 has 144 divisors (see below), whose sum is σ = 358761312. Its totient is φ = 33546240.

The previous prime is 120240247. The next prime is 120240257. The reversal of 120240252 is 252042021.

It is an interprime number because it is at equal distance from previous prime (120240247) and next prime (120240257).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120240257) 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, 356628 + ... + 356964.

It is an arithmetic number, because the mean of its divisors is an integer number (2491398).

Almost surely, 2^120240252 is an apocalyptic number.

120240252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120240252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179380656).

120240252 is an abundant number, since it is smaller than the sum of its proper divisors (238521060).

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

120240252 is a wasteful number, since it uses less digits than its factorization.

120240252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 120240252 is about 10965.4116201810. The cubic root of 120240252 is about 493.5713689769.

Adding to 120240252 its reverse (252042021), we get a palindrome (372282273).

The spelling of 120240252 in words is "one hundred twenty million, two hundred forty thousand, two hundred fifty-two".