33055101240000 has 1120 divisors, whose sum is σ = 134225244172800. Its totient is φ = 7004676096000.

The previous prime is 33055101239929. The next prime is 33055101240011. The reversal of 33055101240000 is 4210155033.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 956742726 + ... + 956777274.

Almost surely, 2^{33055101240000} is an apocalyptic number.

33055101240000 is a gapful number since it is divisible by the number (30) 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 33055101240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67112622086400).

33055101240000 is an abundant number, since it is smaller than the sum of its proper divisors (101170142932800).

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

33055101240000 is a wasteful number, since it uses less digits than its factorization.

33055101240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34675 (or 34650 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 33055101240000 its reverse (4210155033), we get a palindrome (33059311395033).

The spelling of 33055101240000 in words is "thirty-three trillion, fifty-five billion, one hundred one million, two hundred forty thousand".