120409846128 has 240 divisors, whose sum is σ = 396738940416. Its totient is φ = 33609116160.

The previous prime is 120409846103. The next prime is 120409846147. The reversal of 120409846128 is 821648904021.

120409846128 is a `hidden beast` number, since 1 + 20 + 4 + 0 + 9 + 8 + 4 + 612 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10022301 + ... + 10034307.

Almost surely, 2^120409846128 is an apocalyptic number.

120409846128 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 120409846128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198369470208).

120409846128 is an abundant number, since it is smaller than the sum of its proper divisors (276329094288).

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

120409846128 is a wasteful number, since it uses less digits than its factorization.

120409846128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532 (or 12523 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 120409846128 in words is "one hundred twenty billion, four hundred nine million, eight hundred forty-six thousand, one hundred twenty-eight".