1001112200000 has 336 divisors, whose sum is σ = 2733452422848. Its totient is φ = 360729600000.

The previous prime is 1001112199979. The next prime is 1001112200051. The reversal of 1001112200000 is 22111001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248597987 + ... + 248602013.

It is an arithmetic number, because the mean of its divisors is an integer number (8135275068).

Almost surely, 2^{1001112200000} is an apocalyptic number.

1001112200000 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 1001112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366726211424).

1001112200000 is an abundant number, since it is smaller than the sum of its proper divisors (1732340222848).

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

1001112200000 is an equidigital number, since it uses as much as digits as its factorization.

1001112200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001112200000 its reverse (22111001), we get a palindrome (1001134311001).

The spelling of 1001112200000 in words is "one trillion, one billion, one hundred twelve million, two hundred thousand".