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12322020102120 = 23325233733989723
BaseRepresentation
bin1011001101001111000110…
…1000011000111111101000
31121121222021202201012221100
42303103301220120333220
53103340444121231440
642112354034241400
72411144100506331
oct263236150307750
947558252635840
1012322020102120
113a20815127803
12147010b726260
136b4c6658b201
14308563415288
151657cd87e230
hexb34f1a18fe8

12322020102120 has 192 divisors, whose sum is σ = 41899762270080. Its totient is φ = 3134580945408.

The previous prime is 12322020102109. The next prime is 12322020102157. The reversal of 12322020102120 is 2120102022321.

12322020102120 is a `hidden beast` number, since 1 + 232 + 20 + 201 + 0 + 212 + 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 = 12322020102093 and 12322020102102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093579 + ... + 5083301.

It is an arithmetic number, because the mean of its divisors is an integer number (218227928490).

Almost surely, 212322020102120 is an apocalyptic number.

12322020102120 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 12322020102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20949881135040).

12322020102120 is an abundant number, since it is smaller than the sum of its proper divisors (29577742167960).

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

12322020102120 is a wasteful number, since it uses less digits than its factorization.

12322020102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990136 (or 3990129 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12322020102120 its reverse (2120102022321), we get a palindrome (14442122124441).

The spelling of 12322020102120 in words is "twelve trillion, three hundred twenty-two billion, twenty million, one hundred two thousand, one hundred twenty".