120013744900 has 189 divisors, whose sum is σ = 306872475007. Its totient is φ = 40740168000.

The previous prime is 120013744831. The next prime is 120013744927. The reversal of 120013744900 is 9447310021.

The square root of 120013744900 is 346430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22159895044 + 97853849856 = 148862^2 + 312816^2 .

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 62 ways as a sum of consecutive naturals, for example, 1188254850 + ... + 1188254950.

Almost surely, 2^120013744900 is an apocalyptic number.

120013744900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120013744900 is the 346430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120013744900

120013744900 is an abundant number, since it is smaller than the sum of its proper divisors (186858730107).

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

120013744900 is an frugal number, since it uses more digits than its factorization.

120013744900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 120013744900 in words is "one hundred twenty billion, thirteen million, seven hundred forty-four thousand, nine hundred".