33220032213312 has 336 divisors, whose sum is σ = 113617610712000. Its totient is φ = 9490413800448.

The previous prime is 33220032213301. The next prime is 33220032213359. The reversal of 33220032213312 is 21331223002233.

33220032213312 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 0 + 0 + 322 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×33220032213312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160754139 + ... + 1160782757.

Almost surely, 2^{33220032213312} is an apocalyptic number.

33220032213312 is a gapful number since it is divisible by the number (32) 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 33220032213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56808805356000).

33220032213312 is an abundant number, since it is smaller than the sum of its proper divisors (80397578498688).

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

33220032213312 is a wasteful number, since it uses less digits than its factorization.

33220032213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42363 (or 42340 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33220032213312 its reverse (21331223002233), we get a palindrome (54551255215545).

The spelling of 33220032213312 in words is "thirty-three trillion, two hundred twenty billion, thirty-two million, two hundred thirteen thousand, three hundred twelve".