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12220220012220 = 2232511271731031051
BaseRepresentation
bin1011000111010011110111…
…0111110111011010111100
31121021020112010212211120100
42301310331313313122330
53100204002310342340
641553520325121100
72400611305150323
oct261647567673274
947236463784510
1012220220012220
113991625686500
12145443ab59190
136a8491b5981c
143036672970ba
15162d215be830
hexb1d3ddf76bc

12220220012220 has 864 divisors, whose sum is σ = 42330907487232. Its totient is φ = 2850059520000.

The previous prime is 12220220012141. The next prime is 12220220012237. The reversal of 12220220012220 is 2221002202221.

12220220012220 is a `hidden beast` number, since 1 + 2 + 220 + 220 + 0 + 1 + 2 + 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 = 12220220012193 and 12220220012202.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 11627230695 + ... + 11627231745.

It is an arithmetic number, because the mean of its divisors is an integer number (48994105888).

Almost surely, 212220220012220 is an apocalyptic number.

12220220012220 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 12220220012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165453743616).

12220220012220 is an abundant number, since it is smaller than the sum of its proper divisors (30110687475012).

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

12220220012220 is a wasteful number, since it uses less digits than its factorization.

12220220012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220220012220 its reverse (2221002202221), we get a palindrome (14441222214441).

The spelling of 12220220012220 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, twelve thousand, two hundred twenty".