33220213113120 has 768 divisors, whose sum is σ = 120615347994624. Its totient is φ = 7613419520000.

The previous prime is 33220213113083. The next prime is 33220213113137. The reversal of 33220213113120 is 2131131202233.

It is a super-2 number, since 2×33220213113120² (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 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 127 ways as a sum of consecutive naturals, for example, 1027614397 + ... + 1027646723.

It is an arithmetic number, because the mean of its divisors is an integer number (157051234368).

Almost surely, 2^{33220213113120} is an apocalyptic number.

33220213113120 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 33220213113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60307673997312).

33220213113120 is an abundant number, since it is smaller than the sum of its proper divisors (87395134881504).

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

33220213113120 is a wasteful number, since it uses less digits than its factorization.

33220213113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32545 (or 32537 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 33220213113120 its reverse (2131131202233), we get a palindrome (35351344315353).

It can be divided in two parts, 33220213 and 113120, that added together give a palindrome (33333333).

The spelling of 33220213113120 in words is "thirty-three trillion, two hundred twenty billion, two hundred thirteen million, one hundred thirteen thousand, one hundred twenty".