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12222202210020 = 22325113313779563
BaseRepresentation
bin1011000111011011010000…
…0001010110011011100100
31121021102122021201220202200
42301312310001112123210
53100222032231210040
641554445134334500
72401011364435545
oct261666401263344
947242567656680
1012222202210020
113992452574000
1214548b295a430
136a871970cc2a
143037b463a4cc
15162dda617630
hexb1db40566e4

12222202210020 has 1152 divisors, whose sum is σ = 43856743956480. Its totient is φ = 2749674470400.

The previous prime is 12222202209977. The next prime is 12222202210033. The reversal of 12222202210020 is 2001220222221.

12222202210020 is a `hidden beast` number, since 1 + 222 + 220 + 221 + 0 + 0 + 2 + 0 = 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 = 12222202209975 and 12222202210002.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21709062259 + ... + 21709062821.

It is an arithmetic number, because the mean of its divisors is an integer number (38070090240).

Almost surely, 212222202210020 is an apocalyptic number.

12222202210020 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 12222202210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21928371978240).

12222202210020 is an abundant number, since it is smaller than the sum of its proper divisors (31634541746460).

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

12222202210020 is a wasteful number, since it uses less digits than its factorization.

12222202210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 731 counting only the distinct ones).

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

Adding to 12222202210020 its reverse (2001220222221), we get a palindrome (14223422432241).

The spelling of 12222202210020 in words is "twelve trillion, two hundred twenty-two billion, two hundred two million, two hundred ten thousand, twenty".