120314330104020 has 192 divisors, whose sum is σ = 372611155209216. Its totient is φ = 28814484326400.

The previous prime is 120314330103977. The next prime is 120314330104039. The reversal of 120314330104020 is 20401033413021.

It is a happy number.

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, 1437388170 + ... + 1437471870.

It is an arithmetic number, because the mean of its divisors is an integer number (1940683100048).

Almost surely, 2^{120314330104020} is an apocalyptic number.

120314330104020 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 120314330104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186305577604608).

120314330104020 is an abundant number, since it is smaller than the sum of its proper divisors (252296825105196).

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

120314330104020 is a wasteful number, since it uses less digits than its factorization.

120314330104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133570 (or 133568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120314330104020 its reverse (20401033413021), we get a palindrome (140715363517041).

The spelling of 120314330104020 in words is "one hundred twenty trillion, three hundred fourteen billion, three hundred thirty million, one hundred four thousand, twenty".