120319840712448 has 648 divisors, whose sum is σ = 395620997881200. Its totient is φ = 35055261057024.

The previous prime is 120319840712413. The next prime is 120319840712459. The reversal of 120319840712448 is 844217048913021.

It is a happy number.

120319840712448 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 98 + 40 + 71 + 2 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120319840712394 and 120319840712403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24510048618 + ... + 24510053526.

Almost surely, 2^{120319840712448} is an apocalyptic number.

120319840712448 is a gapful number since it is divisible by the number (18) 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 120319840712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197810498940600).

120319840712448 is an abundant number, since it is smaller than the sum of its proper divisors (275301157168752).

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

120319840712448 is a wasteful number, since it uses less digits than its factorization.

120319840712448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8289 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 120319840712448 in words is "one hundred twenty trillion, three hundred nineteen billion, eight hundred forty million, seven hundred twelve thousand, four hundred forty-eight".