12003000300096 has 224 divisors, whose sum is σ = 34272482778240. Its totient is φ = 3685505826816.

The previous prime is 12003000300091. The next prime is 12003000300133. The reversal of 12003000300096 is 69000300030021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12003000300091) 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 31 ways as a sum of consecutive naturals, for example, 2932565826 + ... + 2932569918.

It is an arithmetic number, because the mean of its divisors is an integer number (153002155260).

Almost surely, 2^{12003000300096} is an apocalyptic number.

12003000300096 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 12003000300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136241389120).

12003000300096 is an abundant number, since it is smaller than the sum of its proper divisors (22269482478144).

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

12003000300096 is a wasteful number, since it uses less digits than its factorization.

12003000300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The spelling of 12003000300096 in words is "twelve trillion, three billion, three hundred thousand, ninety-six".