120790321680 has 320 divisors, whose sum is σ = 456390789120. Its totient is φ = 25797353472.

The previous prime is 120790321667. The next prime is 120790321681. The reversal of 120790321680 is 86123097021.

It is not an unprimeable number, because it can be changed into a prime (120790321681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3954627 + ... + 3985053.

It is an arithmetic number, because the mean of its divisors is an integer number (1426221216).

Almost surely, 2^120790321680 is an apocalyptic number.

120790321680 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 120790321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228195394560).

120790321680 is an abundant number, since it is smaller than the sum of its proper divisors (335600467440).

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

120790321680 is a wasteful number, since it uses less digits than its factorization.

120790321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30606 (or 30600 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 120790321680 in words is "one hundred twenty billion, seven hundred ninety million, three hundred twenty-one thousand, six hundred eighty".