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20032111221120 = 27325236114871667
BaseRepresentation
bin1001000111000000101101…
…10111111001100110000000
32121221001101021101112221200
410203200112313321212000
510111201230433033440
6110334342545021200
74135162250631225
oct443402667714600
977831337345850
1020032111221120
116423630603809
1222b6435624800
13b24034b952ab
144d37b8c3394c
1524b133ee1c30
hex123816df9980

20032111221120 has 768 divisors, whose sum is σ = 73457592698880. Its totient is φ = 5019482603520.

The previous prime is 20032111221037. The next prime is 20032111221121. The reversal of 20032111221120 is 2112211123002.

20032111221120 is a `hidden beast` number, since 2 + 0 + 0 + 321 + 1 + 1 + 221 + 120 = 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 = 20032111221093 and 20032111221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032111221121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12016862527 + ... + 12016864193.

It is an arithmetic number, because the mean of its divisors is an integer number (95647907160).

Almost surely, 220032111221120 is an apocalyptic number.

20032111221120 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 20032111221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36728796349440).

20032111221120 is an abundant number, since it is smaller than the sum of its proper divisors (53425481477760).

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

20032111221120 is a wasteful number, since it uses less digits than its factorization.

20032111221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20032111221120 its reverse (2112211123002), we get a palindrome (22144322344122).

The spelling of 20032111221120 in words is "twenty trillion, thirty-two billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".