120534556128 has 384 divisors, whose sum is σ = 383405654016. Its totient is φ = 32431104000.

The previous prime is 120534556123. The next prime is 120534556169. The reversal of 120534556128 is 821655435021.

120534556128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120534556128³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 120534556128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120534556123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 300584728 + ... + 300585128.

It is an arithmetic number, because the mean of its divisors is an integer number (998452224).

Almost surely, 2^120534556128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120534556128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191702827008).

120534556128 is an abundant number, since it is smaller than the sum of its proper divisors (262871097888).

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

120534556128 is a wasteful number, since it uses less digits than its factorization.

120534556128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 120534556128 in words is "one hundred twenty billion, five hundred thirty-four million, five hundred fifty-six thousand, one hundred twenty-eight".