120538660580100 has 1701 divisors, whose sum is σ = 471870791424333. Its totient is φ = 26636307909120.

The previous prime is 120538660580081. The next prime is 120538660580101. The reversal of 120538660580100 is 1085066835021.

The square root of 120538660580100 is 10979010.

It is a perfect power (a square), and thus also a powerful number.

120538660580100 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 8 + 6 + 60 + 580 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 48306475481796 + 72232185098304 = 6950286^2 + 8498952^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

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

It is not an unprimeable number, because it can be changed into a prime (120538660580101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 767762169222 + ... + 767762169378.

Almost surely, 2^{120538660580100} is an apocalyptic number.

120538660580100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120538660580100 is the 10979010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120538660580100

120538660580100 is an abundant number, since it is smaller than the sum of its proper divisors (351332130844233).

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

120538660580100 is an equidigital number, since it uses as much as digits as its factorization.

120538660580100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 120538660580100 in words is "one hundred twenty trillion, five hundred thirty-eight billion, six hundred sixty million, five hundred eighty thousand, one hundred".