120250441040 has 120 divisors (see below), whose sum is σ = 288882369720. Its totient is φ = 46549499904.

The previous prime is 120250441037. The next prime is 120250441111. The reversal of 120250441040 is 40144052021.

It can be written as a sum of positive squares in 12 ways, for example, as 2425759504 + 117824681536 = 49252^2 + 343256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120250440997 and 120250441015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21134516 + ... + 21140204.

It is an arithmetic number, because the mean of its divisors is an integer number (2407353081).

Almost surely, 2^120250441040 is an apocalyptic number.

120250441040 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 120250441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144441184860).

120250441040 is an abundant number, since it is smaller than the sum of its proper divisors (168631928680).

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

120250441040 is a wasteful number, since it uses less digits than its factorization.

120250441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 120250441040 its reverse (40144052021), we get a palindrome (160394493061).

The spelling of 120250441040 in words is "one hundred twenty billion, two hundred fifty million, four hundred forty-one thousand, forty".