1001223000300 has 144 divisors (see below), whose sum is σ = 2907141431040. Its totient is φ = 266047837440.

The previous prime is 1001223000287. The next prime is 1001223000311. The reversal of 1001223000300 is 30003221001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 121547782 + ... + 121556018.

It is an arithmetic number, because the mean of its divisors is an integer number (20188482160).

Almost surely, 2^{1001223000300} is an apocalyptic number.

1001223000300 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 1001223000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453570715520).

1001223000300 is an abundant number, since it is smaller than the sum of its proper divisors (1905918430740).

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

1001223000300 is a wasteful number, since it uses less digits than its factorization.

1001223000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1001223000300 its reverse (30003221001), we get a palindrome (1031226221301).

The spelling of 1001223000300 in words is "one trillion, one billion, two hundred twenty-three million, three hundred", and thus it is an aban number.