1110133200000 has 768 divisors, whose sum is σ = 4131309329280. Its totient is φ = 261734400000.

The previous prime is 1110133199977. The next prime is 1110133200023. The reversal of 1110133200000 is 23310111.

It is an interprime number because it is at equal distance from previous prime (1110133199977) and next prime (1110133200023).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488398864 + ... + 488401136.

Almost surely, 2^{1110133200000} is an apocalyptic number.

1110133200000 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 1110133200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065654664640).

1110133200000 is an abundant number, since it is smaller than the sum of its proper divisors (3021176129280).

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

1110133200000 is an equidigital number, since it uses as much as digits as its factorization.

1110133200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1110133200000 its reverse (23310111), we get a palindrome (1110156510111).

The spelling of 1110133200000 in words is "one trillion, one hundred ten billion, one hundred thirty-three million, two hundred thousand".