120069347328 has 768 divisors, whose sum is σ = 438155827200. Its totient is φ = 31708938240.

The previous prime is 120069347231. The next prime is 120069347339. The reversal of 120069347328 is 823743960021.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467195776 + ... + 467196032.

It is an arithmetic number, because the mean of its divisors is an integer number (570515400).

Almost surely, 2^120069347328 is an apocalyptic number.

120069347328 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 120069347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219077913600).

120069347328 is an abundant number, since it is smaller than the sum of its proper divisors (318086479872).

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

120069347328 is a wasteful number, since it uses less digits than its factorization.

120069347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 120069347328 in words is "one hundred twenty billion, sixty-nine million, three hundred forty-seven thousand, three hundred twenty-eight".