120850457280 has 224 divisors, whose sum is σ = 439240306176. Its totient is φ = 27577245696.

The previous prime is 120850457279. The next prime is 120850457297. The reversal of 120850457280 is 82754058021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4131667 + ... + 4160813.

It is an arithmetic number, because the mean of its divisors is an integer number (1960894224).

Almost surely, 2^120850457280 is an apocalyptic number.

120850457280 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 120850457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219620153088).

120850457280 is an abundant number, since it is smaller than the sum of its proper divisors (318389848896).

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

120850457280 is a wasteful number, since it uses less digits than its factorization.

120850457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29791 (or 29781 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 120850457280 in words is "one hundred twenty billion, eight hundred fifty million, four hundred fifty-seven thousand, two hundred eighty".