22133121301312 has 168 divisors, whose sum is σ = 52806818139264. Its totient is φ = 9171943538688.

The previous prime is 22133121301289. The next prime is 22133121301363. The reversal of 22133121301312 is 21310312133122.

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 23 ways as a sum of consecutive naturals, for example, 11328928 + ... + 13138144.

It is an arithmetic number, because the mean of its divisors is an integer number (314326298448).

Almost surely, 2^{22133121301312} 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 22133121301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26403409069632).

22133121301312 is an abundant number, since it is smaller than the sum of its proper divisors (30673696837952).

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

22133121301312 is a wasteful number, since it uses less digits than its factorization.

22133121301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809373 (or 1809356 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 22133121301312 its reverse (21310312133122), we get a palindrome (43443433434434).

The spelling of 22133121301312 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred one thousand, three hundred twelve".