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12221212210020 = 22335113083667351
BaseRepresentation
bin1011000111010111100100…
…0000110011001101100100
31121021100002021212201002000
42301311321000303031210
53100213020311210040
641554203011245300
72400645013534302
oct261657100631544
947240067781060
1012221212210020
113991a94760390
1214546772a9830
136a85bc594608
1430371cd73272
15162d7d75e130
hexb1d79033364

12221212210020 has 192 divisors, whose sum is σ = 41491569530880. Its totient is φ = 2961752688000.

The previous prime is 12221212209893. The next prime is 12221212210061. The reversal of 12221212210020 is 2001221212221.

It is a happy number.

12221212210020 is a `hidden beast` number, since 1 + 2 + 221 + 212 + 210 + 0 + 20 = 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 = 12221212209975 and 12221212210002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17979345 + ... + 18646695.

It is an arithmetic number, because the mean of its divisors is an integer number (216101924640).

Almost surely, 212221212210020 is an apocalyptic number.

12221212210020 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 12221212210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20745784765440).

12221212210020 is an abundant number, since it is smaller than the sum of its proper divisors (29270357320860).

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

12221212210020 is a wasteful number, since it uses less digits than its factorization.

12221212210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670463 (or 670455 counting only the distinct ones).

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

Adding to 12221212210020 its reverse (2001221212221), we get a palindrome (14222433422241).

The spelling of 12221212210020 in words is "twelve trillion, two hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, twenty".