33223112013312 has 960 divisors, whose sum is σ = 108487156377600. Its totient is φ = 9718276423680.

The previous prime is 33223112013277. The next prime is 33223112013337. The reversal of 33223112013312 is 21331021132233.

33223112013312 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 311 + 20 + 13 + 312 = 666.

It is a super-2 number, since 2×33223112013312² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29584248783 + ... + 29584249905.

It is an arithmetic number, because the mean of its divisors is an integer number (113007454560).

Almost surely, 2^{33223112013312} is an apocalyptic number.

33223112013312 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 33223112013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54243578188800).

33223112013312 is an abundant number, since it is smaller than the sum of its proper divisors (75264044364288).

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

33223112013312 is a wasteful number, since it uses less digits than its factorization.

33223112013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 33223112013312 its reverse (21331021132233), we get a palindrome (54554133145545).

The spelling of 33223112013312 in words is "thirty-three trillion, two hundred twenty-three billion, one hundred twelve million, thirteen thousand, three hundred twelve".