33212113120 has 96 divisors (see below), whose sum is σ = 81241665120. Its totient is φ = 12815308800.

The previous prime is 33212113117. The next prime is 33212113169. The reversal of 33212113120 is 2131121233.

It is a super-2 number, since 2×33212113120² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6730174 + ... + 6735106.

It is an arithmetic number, because the mean of its divisors is an integer number (846267345).

Almost surely, 2^33212113120 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 33212113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40620832560).

33212113120 is an abundant number, since it is smaller than the sum of its proper divisors (48029552000).

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

33212113120 is a wasteful number, since it uses less digits than its factorization.

33212113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 33212113120 its reverse (2131121233), we get a palindrome (35343234353).

It can be divided in two parts, 3321211 and 3120, that added together give a triangular number (3324331 = T₂₅₇₈).

The spelling of 33212113120 in words is "thirty-three billion, two hundred twelve million, one hundred thirteen thousand, one hundred twenty".