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12211122202020 = 223357291011102921
BaseRepresentation
bin1011000110110001111110…
…0110011110010110100100
31121020101001002202012012000
42301230133212132112210
53100031334240431040
641545413451325300
72400136664064330
oct261543746362644
947211032665160
1012211122202020
113988787159aa5
121452720150830
136a7672051691
14303042ca07c0
1516298ca22130
hexb1b1f99e5a4

12211122202020 has 384 divisors, whose sum is σ = 45359211340800. Its totient is φ = 2668184064000.

The previous prime is 12211122201997. The next prime is 12211122202021. The reversal of 12211122202020 is 2020222111221.

It is a happy number.

It is a super-2 number, since 2×122111222020202 (a number of 27 digits) contains 22 as substring.

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 = 12211122201984 and 12211122202002.

It is not an unprimeable number, because it can be changed into a prime (12211122202021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10520160 + ... + 11623080.

It is an arithmetic number, because the mean of its divisors is an integer number (118122946200).

Almost surely, 212211122202020 is an apocalyptic number.

12211122202020 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 12211122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22679605670400).

12211122202020 is an abundant number, since it is smaller than the sum of its proper divisors (33148089138780).

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

12211122202020 is a wasteful number, since it uses less digits than its factorization.

12211122202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103076 (or 1103068 counting only the distinct ones).

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

Adding to 12211122202020 its reverse (2020222111221), we get a palindrome (14231344313241).

The spelling of 12211122202020 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, two hundred two thousand, twenty".