120530505461760 has 416 divisors, whose sum is σ = 429030551765760. Its totient is φ = 32101716787200.

The previous prime is 120530505461741. The next prime is 120530505461771. The reversal of 120530505461760 is 67164505035021.

120530505461760 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 30 + 5 + 0 + 546 + 1 + 76 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 448316175 + ... + 448584945.

Almost surely, 2^{120530505461760} is an apocalyptic number.

120530505461760 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 120530505461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214515275882880).

120530505461760 is an abundant number, since it is smaller than the sum of its proper divisors (308500046304000).

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

120530505461760 is an equidigital number, since it uses as much as digits as its factorization.

120530505461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269620 (or 269592 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 120530505461760 in words is "one hundred twenty trillion, five hundred thirty billion, five hundred five million, four hundred sixty-one thousand, seven hundred sixty".