120024144240 has 320 divisors, whose sum is σ = 499570025472. Its totient is φ = 23021568000.

The previous prime is 120024144223. The next prime is 120024144257. The reversal of 120024144240 is 42441420021.

It is an interprime number because it is at equal distance from previous prime (120024144223) and next prime (120024144257).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120024144240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9561 + ... + 490040.

Almost surely, 2^120024144240 is an apocalyptic number.

120024144240 is a gapful number since it is divisible by the number (10) 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 120024144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249785012736).

120024144240 is an abundant number, since it is smaller than the sum of its proper divisors (379545881232).

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

120024144240 is a wasteful number, since it uses less digits than its factorization.

120024144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499648 (or 499642 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 120024144240 its reverse (42441420021), we get a palindrome (162465564261).

The spelling of 120024144240 in words is "one hundred twenty billion, twenty-four million, one hundred forty-four thousand, two hundred forty".