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12221121020220 = 22335710164149939
BaseRepresentation
bin1011000111010111001110…
…0100111100000100111100
31121021022211221021210012000
42301311303210330010330
53100212323440121340
641554145552542300
72400642525454650
oct261656344740474
947238757253160
1012221121020220
113991a48237112
121454650851990
136a85a6716c58
14303710bd6a60
15162d75749d30
hexb1d7393c13c

12221121020220 has 384 divisors, whose sum is σ = 43952441702400. Its totient is φ = 2761371648000.

The previous prime is 12221121020179. The next prime is 12221121020221. The reversal of 12221121020220 is 2202012112221.

It is a happy number.

12221121020220 is a `hidden beast` number, since 1 + 2 + 2 + 211 + 210 + 20 + 220 = 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 = 12221121020193 and 12221121020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221121020221) 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 127 ways as a sum of consecutive naturals, for example, 244696011 + ... + 244745949.

It is an arithmetic number, because the mean of its divisors is an integer number (114459483600).

Almost surely, 212221121020220 is an apocalyptic number.

12221121020220 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 12221121020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976220851200).

12221121020220 is an abundant number, since it is smaller than the sum of its proper divisors (31731320682180).

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

12221121020220 is a wasteful number, since it uses less digits than its factorization.

12221121020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50706 (or 50698 counting only the distinct ones).

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

Adding to 12221121020220 its reverse (2202012112221), we get a palindrome (14423133132441).

The spelling of 12221121020220 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty thousand, two hundred twenty".