33220134141200 has 120 divisors (see below), whose sum is σ = 80426076776640. Its totient is φ = 13185805939200.

The previous prime is 33220134141179. The next prime is 33220134141217. The reversal of 33220134141200 is 214143102233.

It is a super-2 number, since 2×33220134141200² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33220134141200.

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 23 ways as a sum of consecutive naturals, for example, 110883605 + ... + 111182795.

It is an arithmetic number, because the mean of its divisors is an integer number (670217306472).

Almost surely, 2^{33220134141200} 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 33220134141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40213038388320).

33220134141200 is an abundant number, since it is smaller than the sum of its proper divisors (47205942635440).

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

33220134141200 is a wasteful number, since it uses less digits than its factorization.

33220134141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301345 (or 301334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 33220134141200 its reverse (214143102233), we get a palindrome (33434277243433).

The spelling of 33220134141200 in words is "thirty-three trillion, two hundred twenty billion, one hundred thirty-four million, one hundred forty-one thousand, two hundred".