120300096 has 168 divisors, whose sum is σ = 390326880. Its totient is φ = 32514048.

The previous prime is 120299999. The next prime is 120300127. The reversal of 120300096 is 690003021.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×120300096² = 28944226195218432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 178416 + ... + 179088.

Almost surely, 2^120300096 is an apocalyptic number.

120300096 is a gapful number since it is divisible by the number (16) 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 120300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195163440).

120300096 is an abundant number, since it is smaller than the sum of its proper divisors (270026784).

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

120300096 is a wasteful number, since it uses less digits than its factorization.

120300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 120300096 is about 10968.1400428696. The cubic root of 120300096 is about 493.6532394698.

The spelling of 120300096 in words is "one hundred twenty million, three hundred thousand, ninety-six".