120930613440 has 448 divisors, whose sum is σ = 475413872640. Its totient is φ = 25511915520.

The previous prime is 120930613439. The next prime is 120930613459. The reversal of 120930613440 is 44316039021.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14759745 + ... + 14767935.

It is an arithmetic number, because the mean of its divisors is an integer number (1061191680).

Almost surely, 2^120930613440 is an apocalyptic number.

120930613440 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 120930613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237706936320).

120930613440 is an abundant number, since it is smaller than the sum of its proper divisors (354483259200).

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

120930613440 is an equidigital number, since it uses as much as digits as its factorization.

120930613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 120930613440 in words is "one hundred twenty billion, nine hundred thirty million, six hundred thirteen thousand, four hundred forty".