20133222124224 has 448 divisors, whose sum is σ = 61799160729600. Its totient is φ = 5720556441600.

The previous prime is 20133222124219. The next prime is 20133222124259. The reversal of 20133222124224 is 42242122233102.

It is a junction number, because it is equal to n+sod(n) for n = 20133222124191 and 20133222124200.

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 63 ways as a sum of consecutive naturals, for example, 8711908029 + ... + 8711910339.

It is an arithmetic number, because the mean of its divisors is an integer number (137944555200).

Almost surely, 2^{20133222124224} is an apocalyptic number.

20133222124224 is a gapful number since it is divisible by the number (24) 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 20133222124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30899580364800).

20133222124224 is an abundant number, since it is smaller than the sum of its proper divisors (41665938605376).

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

20133222124224 is a wasteful number, since it uses less digits than its factorization.

20133222124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20133222124224 its reverse (42242122233102), we get a palindrome (62375344357326).

The spelling of 20133222124224 in words is "twenty trillion, one hundred thirty-three billion, two hundred twenty-two million, one hundred twenty-four thousand, two hundred twenty-four".