33342213120000 has 560 divisors, whose sum is σ = 115929956039040. Its totient is φ = 8504590336000.

The previous prime is 33342213119939. The next prime is 33342213120043. The reversal of 33342213120000 is 2131224333.

It is a super-2 number, since 2×33342213120000² (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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353232811 + ... + 353327189.

Almost surely, 2^{33342213120000} is an apocalyptic number.

33342213120000 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 33342213120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57964978019520).

33342213120000 is an abundant number, since it is smaller than the sum of its proper divisors (82587742919040).

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

33342213120000 is an frugal number, since it uses more digits than its factorization.

33342213120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94451 (or 94412 counting only the distinct ones).

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

Adding to 33342213120000 its reverse (2131224333), we get a palindrome (33344344344333).

The spelling of 33342213120000 in words is "thirty-three trillion, three hundred forty-two billion, two hundred thirteen million, one hundred twenty thousand".