1200111100300 has 144 divisors (see below), whose sum is σ = 3074543216640. Its totient is φ = 397900800000.

The previous prime is 1200111100297. The next prime is 1200111100303. The reversal of 1200111100300 is 30011110021.

It is an interprime number because it is at equal distance from previous prime (1200111100297) and next prime (1200111100303).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1200111100303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30555675 + ... + 30594925.

It is an arithmetic number, because the mean of its divisors is an integer number (21350994560).

Almost surely, 2^{1200111100300} is an apocalyptic number.

1200111100300 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 1200111100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537271608320).

1200111100300 is an abundant number, since it is smaller than the sum of its proper divisors (1874432116340).

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

1200111100300 is a wasteful number, since it uses less digits than its factorization.

1200111100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40712 (or 40705 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1200111100300 its reverse (30011110021), we get a palindrome (1230122210321).

The spelling of 1200111100300 in words is "one trillion, two hundred billion, one hundred eleven million, one hundred thousand, three hundred".