1033312112000 has 512 divisors, whose sum is σ = 3099555763200. Its totient is φ = 334662451200.

The previous prime is 1033312111969. The next prime is 1033312112003. The reversal of 1033312112000 is 2112133301.

It is a self number, because there is not a number n which added to its sum of digits gives 1033312112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033312112003) 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 63 ways as a sum of consecutive naturals, for example, 1312975607 + ... + 1312976393.

It is an arithmetic number, because the mean of its divisors is an integer number (6053819850).

Almost surely, 2^{1033312112000} is an apocalyptic number.

1033312112000 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 1033312112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549777881600).

1033312112000 is an abundant number, since it is smaller than the sum of its proper divisors (2066243651200).

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

1033312112000 is an equidigital number, since it uses as much as digits as its factorization.

1033312112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1033312112000 its reverse (2112133301), we get a palindrome (1035424245301).

The spelling of 1033312112000 in words is "one trillion, thirty-three billion, three hundred twelve million, one hundred twelve thousand".