33212133201000 has 256 divisors, whose sum is σ = 111929949331200. Its totient is φ = 8150592384000.

The previous prime is 33212133200933. The next prime is 33212133201041. The reversal of 33212133201000 is 10233121233.

33212133201000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33212133201000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11622606 + ... + 14195394.

It is an arithmetic number, because the mean of its divisors is an integer number (437226364575).

Almost surely, 2^{33212133201000} is an apocalyptic number.

33212133201000 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 33212133201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55964974665600).

33212133201000 is an abundant number, since it is smaller than the sum of its proper divisors (78717816130200).

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

33212133201000 is a wasteful number, since it uses less digits than its factorization.

33212133201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573157 (or 2573143 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33212133201000 its reverse (10233121233), we get a palindrome (33222366322233).

The spelling of 33212133201000 in words is "thirty-three trillion, two hundred twelve billion, one hundred thirty-three million, two hundred one thousand".