118725573120 has 1920 divisors, whose sum is σ = 532020234240. Its totient is φ = 22254059520.

The previous prime is 118725573089. The next prime is 118725573121. The reversal of 118725573120 is 21375527811.

It is a tau number, because it is divible by the number of its divisors (1920).

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 not an unprimeable number, because it can be changed into a prime (118725573121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2761059819 + ... + 2761059861.

It is an arithmetic number, because the mean of its divisors is an integer number (277093872).

Almost surely, 2^118725573120 is an apocalyptic number.

118725573120 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 118725573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266010117120).

118725573120 is an abundant number, since it is smaller than the sum of its proper divisors (413294661120).

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

118725573120 is a wasteful number, since it uses less digits than its factorization.

118725573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 118725573120 in words is "one hundred eighteen billion, seven hundred twenty-five million, five hundred seventy-three thousand, one hundred twenty".