120689349120 has 480 divisors, whose sum is σ = 430606725120. Its totient is φ = 31226757120.

The previous prime is 120689349113. The next prime is 120689349139. The reversal of 120689349120 is 21943986021.

120689349120 is a `hidden beast` number, since 1 + 206 + 89 + 349 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111029217 + ... + 111030303.

It is an arithmetic number, because the mean of its divisors is an integer number (897097344).

Almost surely, 2^120689349120 is an apocalyptic number.

120689349120 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 120689349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215303362560).

120689349120 is an abundant number, since it is smaller than the sum of its proper divisors (309917376000).

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

120689349120 is a wasteful number, since it uses less digits than its factorization.

120689349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 120689349120 in words is "one hundred twenty billion, six hundred eighty-nine million, three hundred forty-nine thousand, one hundred twenty".