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12211120220220 = 2235589257109849
BaseRepresentation
bin1011000110110001111101…
…1110111010100000111100
31121020101000222000111200000
42301230133132322200330
53100031333234021340
641545413341034300
72400136641201435
oct261543736724074
947211028014600
1012211120220220
113988786026049
12145271b555990
136a767180960c
1430304290648c
1516298c77ed30
hexb1b1f7ba83c

12211120220220 has 288 divisors, whose sum is σ = 38995361496000. Its totient is φ = 3207153844224.

The previous prime is 12211120220207. The next prime is 12211120220237. The reversal of 12211120220220 is 2202202111221.

It is a happy number.

12211120220220 is a `hidden beast` number, since 1 + 2 + 211 + 12 + 0 + 220 + 220 = 666.

It is a super-2 number, since 2×122111202202202 (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 = 12211120220193 and 12211120220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111107856 + ... + 111217704.

It is an arithmetic number, because the mean of its divisors is an integer number (135400560750).

Almost surely, 212211120220220 is an apocalyptic number.

12211120220220 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 12211120220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19497680748000).

12211120220220 is an abundant number, since it is smaller than the sum of its proper divisors (26784241275780).

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

12211120220220 is a wasteful number, since it uses less digits than its factorization.

12211120220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110219 (or 110205 counting only the distinct ones).

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

Adding to 12211120220220 its reverse (2202202111221), we get a palindrome (14413322331441).

The spelling of 12211120220220 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, two hundred twenty thousand, two hundred twenty".