12021322433120 has 576 divisors, whose sum is σ = 39470962003200. Its totient is φ = 3400041738240.

The previous prime is 12021322433111. The next prime is 12021322433191. The reversal of 12021322433120 is 2133422312021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12021322433120.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 66055211 + ... + 66236949.

It is an arithmetic number, because the mean of its divisors is an integer number (68525975700).

Almost surely, 2^{12021322433120} is an apocalyptic number.

12021322433120 is a gapful number since it is divisible by the number (10) 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 12021322433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19735481001600).

12021322433120 is an abundant number, since it is smaller than the sum of its proper divisors (27449639570080).

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

12021322433120 is a wasteful number, since it uses less digits than its factorization.

12021322433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181851 (or 181836 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12021322433120 its reverse (2133422312021), we get a palindrome (14154744745141).

The spelling of 12021322433120 in words is "twelve trillion, twenty-one billion, three hundred twenty-two million, four hundred thirty-three thousand, one hundred twenty".