20132222133120 has 256 divisors, whose sum is σ = 65142739987200. Its totient is φ = 5287368278016.

The previous prime is 20132222133091. The next prime is 20132222133169. The reversal of 20132222133120 is 2133122223102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758576811 + ... + 758603349.

It is an arithmetic number, because the mean of its divisors is an integer number (254463828075).

Almost surely, 2^{20132222133120} is an apocalyptic number.

20132222133120 is a gapful number since it is divisible by the number (20) 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 20132222133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32571369993600).

20132222133120 is an abundant number, since it is smaller than the sum of its proper divisors (45010517854080).

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

20132222133120 is a wasteful number, since it uses less digits than its factorization.

20132222133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32525 (or 32513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20132222133120 its reverse (2133122223102), we get a palindrome (22265344356222).

The spelling of 20132222133120 in words is "twenty trillion, one hundred thirty-two billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".