33220121320320 has 128 divisors (see below), whose sum is σ = 115515421937280. Its totient is φ = 8053362739200.

The previous prime is 33220121320307. The next prime is 33220121320357. The reversal of 33220121320320 is 2302312102233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33220121320320² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 786440086 + ... + 786482325.

It is an arithmetic number, because the mean of its divisors is an integer number (902464233885).

Almost surely, 2^{33220121320320} is an apocalyptic number.

33220121320320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33220121320320 is an abundant number, since it is smaller than the sum of its proper divisors (82295300616960).

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

33220121320320 is a wasteful number, since it uses less digits than its factorization.

33220121320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572922444 (or 1572922432 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 33220121320320 its reverse (2302312102233), we get a palindrome (35522433422553).

The spelling of 33220121320320 in words is "thirty-three trillion, two hundred twenty billion, one hundred twenty-one million, three hundred twenty thousand, three hundred twenty".