20011122130032 has 240 divisors, whose sum is σ = 61396242710400. Its totient is φ = 6034104921600.

The previous prime is 20011122130007. The next prime is 20011122130039. The reversal of 20011122130032 is 23003122111002.

20011122130032 is a `hidden beast` number, since 2 + 0 + 0 + 111 + 221 + 300 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20011122129987 and 20011122130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011122130039) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 269840094 + ... + 269914242.

It is an arithmetic number, because the mean of its divisors is an integer number (255817677960).

Almost surely, 2^{20011122130032} is an apocalyptic number.

20011122130032 is a gapful number since it is divisible by the number (22) 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 20011122130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30698121355200).

20011122130032 is an abundant number, since it is smaller than the sum of its proper divisors (41385120580368).

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

20011122130032 is a wasteful number, since it uses less digits than its factorization.

20011122130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75012 (or 75003 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20011122130032 its reverse (23003122111002), we get a palindrome (43014244241034).

The spelling of 20011122130032 in words is "twenty trillion, eleven billion, one hundred twenty-two million, one hundred thirty thousand, thirty-two".