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12222121120020 = 22325797227601733
BaseRepresentation
bin1011000111011010111100…
…1100000001000100010100
31121021102102122011010012100
42301312233030001010110
53100221401001320040
641554433120322100
72401006361252550
oct261665714010424
947242378133170
1012222121120020
113992410818979
12145488b773330
136a870598a696
143037a796c860
15162dd344ab30
hexb1daf301114

12222121120020 has 576 divisors, whose sum is σ = 43125694649856. Its totient is φ = 2744318361600.

The previous prime is 12222121120007. The next prime is 12222121120039. The reversal of 12222121120020 is 2002112122221.

It is a happy number.

12222121120020 is a `hidden beast` number, since 1 + 222 + 212 + 11 + 200 + 20 = 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 = 12222121119975 and 12222121120002.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 16674107574 + ... + 16674108306.

It is an arithmetic number, because the mean of its divisors is an integer number (74870997656).

Almost surely, 212222121120020 is an apocalyptic number.

12222121120020 is a gapful number since it is divisible by the number (10) 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 12222121120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21562847324928).

12222121120020 is an abundant number, since it is smaller than the sum of its proper divisors (30903573529836).

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

12222121120020 is a wasteful number, since it uses less digits than its factorization.

12222121120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12222121120020 its reverse (2002112122221), we get a palindrome (14224233242241).

The spelling of 12222121120020 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, twenty".