120541450344040 has 128 divisors (see below), whose sum is σ = 300902795827200. Its totient is φ = 43088384078080.

The previous prime is 120541450344037. The next prime is 120541450344043. The reversal of 120541450344040 is 40443054145021.

It is an interprime number because it is at equal distance from previous prime (120541450344037) and next prime (120541450344043).

It is a super-2 number, since 2×120541450344040² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120541450344043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 658435797 + ... + 658618843.

It is an arithmetic number, because the mean of its divisors is an integer number (2350803092400).

Almost surely, 2^{120541450344040} is an apocalyptic number.

120541450344040 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 120541450344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150451397913600).

120541450344040 is an abundant number, since it is smaller than the sum of its proper divisors (180361345483160).

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

120541450344040 is a wasteful number, since it uses less digits than its factorization.

120541450344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208495 (or 208491 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 120541450344040 in words is "one hundred twenty trillion, five hundred forty-one billion, four hundred fifty million, three hundred forty-four thousand, forty".