120305549700 has 540 divisors, whose sum is σ = 464781353652. Its totient is φ = 26824089600.

The previous prime is 120305549677. The next prime is 120305549713. The reversal of 120305549700 is 7945503021.

120305549700 is a `hidden beast` number, since 1 + 2 + 0 + 30 + 554 + 9 + 70 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39432427776 + 80873121924 = 198576^2 + 284382^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 16269204 + ... + 16276596.

Almost surely, 2^120305549700 is an apocalyptic number.

120305549700 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 120305549700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232390676826).

120305549700 is an abundant number, since it is smaller than the sum of its proper divisors (344475803952).

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

120305549700 is a wasteful number, since it uses less digits than its factorization.

120305549700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7474 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 120305549700 in words is "one hundred twenty billion, three hundred five million, five hundred forty-nine thousand, seven hundred".