120743911588608 has 3780 divisors, whose sum is σ = 494370159051384. Its totient is φ = 29291905843200.

The previous prime is 120743911588589. The next prime is 120743911588633. The reversal of 120743911588608 is 806885119347021.

120743911588608 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 4 + 3 + 9 + 1 + 15 + 8 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 921709248703 + ... + 921709248833.

It is a 1-persistent number, because it is pandigital, but 2⋅120743911588608 = 241487823177216 is not.

Almost surely, 2^{120743911588608} is an apocalyptic number.

120743911588608 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 120743911588608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247185079525692).

120743911588608 is an abundant number, since it is smaller than the sum of its proper divisors (373626247462776).

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

120743911588608 is an frugal number, since it uses more digits than its factorization.

120743911588608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 120743911588608 in words is "one hundred twenty trillion, seven hundred forty-three billion, nine hundred eleven million, five hundred eighty-eight thousand, six hundred eight".