120295748040 has 192 divisors, whose sum is σ = 411352084800. Its totient is φ = 28052683776.

The previous prime is 120295748029. The next prime is 120295748063. The reversal of 120295748040 is 40847592021.

It is a junction number, because it is equal to n+sod(n) for n = 120295747983 and 120295748001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229222 + ... + 541418.

It is an arithmetic number, because the mean of its divisors is an integer number (2142458775).

Almost surely, 2^120295748040 is an apocalyptic number.

120295748040 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 120295748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205676042400).

120295748040 is an abundant number, since it is smaller than the sum of its proper divisors (291056336760).

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

120295748040 is a wasteful number, since it uses less digits than its factorization.

120295748040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312256 (or 312239 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 120295748040 in words is "one hundred twenty billion, two hundred ninety-five million, seven hundred forty-eight thousand, forty".