120434355505120 has 48 divisors (see below), whose sum is σ = 284529556474128. Its totient is φ = 48173167964160.

The previous prime is 120434355505039. The next prime is 120434355505157. The reversal of 120434355505120 is 21505553434021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9106672 + ... + 17994448.

It is an arithmetic number, because the mean of its divisors is an integer number (5927699093211).

Almost surely, 2^{120434355505120} is an apocalyptic number.

120434355505120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120434355505120 is an abundant number, since it is smaller than the sum of its proper divisors (164095200969008).

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

120434355505120 is an equidigital number, since it uses as much as digits as its factorization.

120434355505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972483 (or 8972475 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 120434355505120 in words is "one hundred twenty trillion, four hundred thirty-four billion, three hundred fifty-five million, five hundred five thousand, one hundred twenty".