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12220121210220 = 2233573115997841
BaseRepresentation
bin1011000111010011011111…
…1110111101110101101100
31121021020021020222011201000
42301310313332331311230
53100203302012211340
641553502435320300
72400605665305000
oct261646776756554
947236236864630
1012220121210220
113991584933060
121454411a50090
136a84775453c1
143036580d8700
15162d17aa4d30
hexb1d37fbdd6c

12220121210220 has 384 divisors, whose sum is σ = 48366597888000. Its totient is φ = 2539245542400.

The previous prime is 12220121210117. The next prime is 12220121210249. The reversal of 12220121210220 is 2201212102221.

It is a happy number.

12220121210220 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 212 + 10 + 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 = 12220121210193 and 12220121210202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 961501 + ... + 5036340.

It is an arithmetic number, because the mean of its divisors is an integer number (125954682000).

Almost surely, 212220121210220 is an apocalyptic number.

12220121210220 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 12220121210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24183298944000).

12220121210220 is an abundant number, since it is smaller than the sum of its proper divisors (36146476677780).

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

12220121210220 is a wasteful number, since it uses less digits than its factorization.

12220121210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997891 (or 5997869 counting only the distinct ones).

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

Adding to 12220121210220 its reverse (2201212102221), we get a palindrome (14421333312441).

The spelling of 12220121210220 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty".