20022332001120 has 288 divisors, whose sum is σ = 72553915613088. Its totient is φ = 5010728730624.

The previous prime is 20022332001071. The next prime is 20022332001131. The reversal of 20022332001120 is 2110023322002.

20022332001120 is a `hidden beast` number, since 2 + 0 + 0 + 223 + 320 + 0 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 20022332001093 and 20022332001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7316022 + ... + 9673098.

It is an arithmetic number, because the mean of its divisors is an integer number (251923318101).

Almost surely, 2^{20022332001120} is an apocalyptic number.

20022332001120 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 20022332001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36276957806544).

20022332001120 is an abundant number, since it is smaller than the sum of its proper divisors (52531583611968).

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

20022332001120 is a wasteful number, since it uses less digits than its factorization.

20022332001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357462 (or 2357451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20022332001120 its reverse (2110023322002), we get a palindrome (22132355323122).

The spelling of 20022332001120 in words is "twenty trillion, twenty-two billion, three hundred thirty-two million, one thousand, one hundred twenty".