33212021200000 has 192 divisors, whose sum is σ = 82728765723240. Its totient is φ = 13280256000000.

The previous prime is 33212021199967. The next prime is 33212021200019. The reversal of 33212021200000 is 212021233.

It can be written as a sum of positive squares in 12 ways, for example, as 19698045309504 + 13513975890496 = 4438248^2 + 3676136^2 .

It is a super-4 number, since 4×33212021200000⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320387424 + ... + 1320412576.

Almost surely, 2^{33212021200000} 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 33212021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41364382861620).

33212021200000 is an abundant number, since it is smaller than the sum of its proper divisors (49516744523240).

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

33212021200000 is an frugal number, since it uses more digits than its factorization.

33212021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28493 (or 28461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 33212021200000 its reverse (212021233), we get a palindrome (33212233221233).

The spelling of 33212021200000 in words is "thirty-three trillion, two hundred twelve billion, twenty-one million, two hundred thousand".