33001012000000 has 504 divisors, whose sum is σ = 95111851302720. Its totient is φ = 11294208000000.

The previous prime is 33001011999959. The next prime is 33001012000001. The reversal of 33001012000000 is 21010033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33001012000001) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 747977941 + ... + 748022059.

It is an arithmetic number, because the mean of its divisors is an integer number (188713990680).

Almost surely, 2^{33001012000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33001012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47555925651360).

33001012000000 is an abundant number, since it is smaller than the sum of its proper divisors (62110839302720).

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

33001012000000 is an frugal number, since it uses more digits than its factorization.

33001012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44193 (or 44154 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 33001012000000 its reverse (21010033), we get a palindrome (33001033010033).

The spelling of 33001012000000 in words is "thirty-three trillion, one billion, twelve million", and thus it is an aban number and an uban number.