120706586280 has 1152 divisors, whose sum is σ = 493689530880. Its totient is φ = 25461596160.

The previous prime is 120706586263. The next prime is 120706586303. The reversal of 120706586280 is 82685607021.

120706586280 is a `hidden beast` number, since 12 + 0 + 7 + 0 + 6 + 5 + 8 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 1801590807 + ... + 1801590873.

It is an arithmetic number, because the mean of its divisors is an integer number (428549940).

Almost surely, 2^120706586280 is an apocalyptic number.

120706586280 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 120706586280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246844765440).

120706586280 is an abundant number, since it is smaller than the sum of its proper divisors (372982944600).

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

120706586280 is a wasteful number, since it uses less digits than its factorization.

120706586280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 120706586280 in words is "one hundred twenty billion, seven hundred six million, five hundred eighty-six thousand, two hundred eighty".