120302310040 has 128 divisors (see below), whose sum is σ = 297765227520. Its totient is φ = 43380288000.

The previous prime is 120302309923. The next prime is 120302310047. The reversal of 120302310040 is 40013203021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120302309996 and 120302310023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120302310047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49363702 + ... + 49366138.

It is an arithmetic number, because the mean of its divisors is an integer number (2326290840).

Almost surely, 2^120302310040 is an apocalyptic number.

120302310040 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 120302310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148882613760).

120302310040 is an abundant number, since it is smaller than the sum of its proper divisors (177462917480).

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

120302310040 is a wasteful number, since it uses less digits than its factorization.

120302310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120302310040 its reverse (40013203021), we get a palindrome (160315513061).

The spelling of 120302310040 in words is "one hundred twenty billion, three hundred two million, three hundred ten thousand, forty".