33321221024112 has 240 divisors, whose sum is σ = 110039479879680. Its totient is φ = 9211016563200.

The previous prime is 33321221024111. The next prime is 33321221024171. The reversal of 33321221024112 is 21142012212333.

33321221024112 is a `hidden beast` number, since 3 + 3 + 3 + 21 + 221 + 0 + 2 + 411 + 2 = 666.

It is a super-2 number, since 2×33321221024112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33321221024111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 131458714 + ... + 131711942.

It is an arithmetic number, because the mean of its divisors is an integer number (458497832832).

Almost surely, 2^{33321221024112} 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 33321221024112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55019739939840).

33321221024112 is an abundant number, since it is smaller than the sum of its proper divisors (76718258855568).

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

33321221024112 is a wasteful number, since it uses less digits than its factorization.

33321221024112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257492 (or 257483 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 33321221024112 its reverse (21142012212333), we get a palindrome (54463233236445).

The spelling of 33321221024112 in words is "thirty-three trillion, three hundred twenty-one billion, two hundred twenty-one million, twenty-four thousand, one hundred twelve".