120128419442880 has 336 divisors, whose sum is σ = 414940081614240. Its totient is φ = 31898980417536.

The previous prime is 120128419442873. The next prime is 120128419442881. The reversal of 120128419442880 is 88244914821021.

120128419442880 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 28 + 4 + 194 + 428 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (120128419442881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652109826 + ... + 652294014.

It is an arithmetic number, because the mean of its divisors is an integer number (1234940719090).

Almost surely, 2^{120128419442880} is an apocalyptic number.

120128419442880 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 120128419442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207470040807120).

120128419442880 is an abundant number, since it is smaller than the sum of its proper divisors (294811662171360).

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

120128419442880 is a wasteful number, since it uses less digits than its factorization.

120128419442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185168 (or 185155 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 120128419442880 in words is "one hundred twenty trillion, one hundred twenty-eight billion, four hundred nineteen million, four hundred forty-two thousand, eight hundred eighty".