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12002422120020 = 223251814616191291
BaseRepresentation
bin1010111010101000100000…
…0110110101111001010100
31120111102100102201112211100
42232222020012311321110
53033121430030320040
641305500412310100
72346101131464633
oct256521006657124
946442312645740
1012002422120020
113908220425492
12141a196a72330
13690a924518b7
142d6cc555951a
1515c3258b5b30
hexaea881b5e54

12002422120020 has 288 divisors, whose sum is σ = 36775637458560. Its totient is φ = 3168471168000.

The previous prime is 12002422119953. The next prime is 12002422120027. The reversal of 12002422120020 is 2002122420021.

12002422120020 is a `hidden beast` number, since 1 + 20 + 0 + 2 + 422 + 1 + 200 + 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 = 12002422119975 and 12002422120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002422120027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9296995575 + ... + 9296996865.

It is an arithmetic number, because the mean of its divisors is an integer number (127693185620).

Almost surely, 212002422120020 is an apocalyptic number.

12002422120020 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 12002422120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18387818729280).

12002422120020 is an abundant number, since it is smaller than the sum of its proper divisors (24773215338540).

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

12002422120020 is a wasteful number, since it uses less digits than its factorization.

12002422120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2562 counting only the distinct ones).

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

Adding to 12002422120020 its reverse (2002122420021), we get a palindrome (14004544540041).

The spelling of 12002422120020 in words is "twelve trillion, two billion, four hundred twenty-two million, one hundred twenty thousand, twenty".