120822242688 has 384 divisors, whose sum is σ = 412851479040. Its totient is φ = 33197875200.

The previous prime is 120822242623. The next prime is 120822242713. The reversal of 120822242688 is 886242228021.

120822242688 is a `hidden beast` number, since 120 + 8 + 2 + 22 + 426 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 23471731 + ... + 23476877.

It is an arithmetic number, because the mean of its divisors is an integer number (1075134060).

Almost surely, 2^120822242688 is an apocalyptic number.

120822242688 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 120822242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206425739520).

120822242688 is an abundant number, since it is smaller than the sum of its proper divisors (292029236352).

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

120822242688 is a wasteful number, since it uses less digits than its factorization.

120822242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 120822242688 in words is "one hundred twenty billion, eight hundred twenty-two million, two hundred forty-two thousand, six hundred eighty-eight".