120027005280 has 1920 divisors, whose sum is σ = 557344972800. Its totient is φ = 24141680640.

The previous prime is 120027005237. The next prime is 120027005317. The reversal of 120027005280 is 82500720021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 1791447807 + ... + 1791447873.

It is an arithmetic number, because the mean of its divisors is an integer number (290283840).

Almost surely, 2^120027005280 is an apocalyptic number.

120027005280 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 120027005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278672486400).

120027005280 is an abundant number, since it is smaller than the sum of its proper divisors (437317967520).

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

120027005280 is a wasteful number, since it uses less digits than its factorization.

120027005280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 120027005280 in words is "one hundred twenty billion, twenty-seven million, five thousand, two hundred eighty".