120024304002 has 96 divisors (see below), whose sum is σ = 270797230080. Its totient is φ = 38379178080.

The previous prime is 120024303979. The next prime is 120024304007. The reversal of 120024304002 is 200403420021.

120024304002 is a `hidden beast` number, since 1 + 20 + 0 + 243 + 0 + 400 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120024304007) 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, 34657323 + ... + 34660785.

It is an arithmetic number, because the mean of its divisors is an integer number (2820804480).

Almost surely, 2^120024304002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120024304002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135398615040).

120024304002 is an abundant number, since it is smaller than the sum of its proper divisors (150772926078).

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

120024304002 is a wasteful number, since it uses less digits than its factorization.

120024304002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 120024304002 its reverse (200403420021), we get a palindrome (320427724023).

The spelling of 120024304002 in words is "one hundred twenty billion, twenty-four million, three hundred four thousand, two".