20222042133312 has 336 divisors, whose sum is σ = 60382454426112. Its totient is φ = 6710133104640.

The previous prime is 20222042133277. The next prime is 20222042133367. The reversal of 20222042133312 is 21333124022202.

20222042133312 is a `hidden beast` number, since 2 + 0 + 2 + 220 + 421 + 3 + 3 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6847964028 + ... + 6847966980.

It is an arithmetic number, because the mean of its divisors is an integer number (179709685792).

Almost surely, 2^{20222042133312} 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 20222042133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191227213056).

20222042133312 is an abundant number, since it is smaller than the sum of its proper divisors (40160412292800).

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

20222042133312 is a wasteful number, since it uses less digits than its factorization.

20222042133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20222042133312 its reverse (21333124022202), we get a palindrome (41555166155514).

The spelling of 20222042133312 in words is "twenty trillion, two hundred twenty-two billion, forty-two million, one hundred thirty-three thousand, three hundred twelve".