120012000300 has 324 divisors, whose sum is σ = 395970342040. Its totient is φ = 31182359040.

The previous prime is 120012000263. The next prime is 120012000323. The reversal of 120012000300 is 3000210021.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

120012000300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1062053044 + ... + 1062053156.

Almost surely, 2^120012000300 is an apocalyptic number.

120012000300 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 120012000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197985171020).

120012000300 is an abundant number, since it is smaller than the sum of its proper divisors (275958341740).

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

120012000300 is a wasteful number, since it uses less digits than its factorization.

120012000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Multiplying 120012000300 by its product of nonzero digits (12), we get a square (1440144003600 = 1200060²).

120012000300 divided by its product of nonzero digits (12) gives a square (10001000025 = 100005²).

Adding to 120012000300 its reverse (3000210021), we get a palindrome (123012210321).

The spelling of 120012000300 in words is "one hundred twenty billion, twelve million, three hundred", and thus it is an aban number.