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12230123332020 = 2235111012117971091
BaseRepresentation
bin1011000111111000110000…
…1010000010000110110100
31121022012002022201121101120
42301332030022002012310
53100334243033111040
642002235135423540
72401411600034646
oct261761412020664
947265068647346
1012230123332020
113995847867220
121456343684bb0
136a93ac7c6579
14303d26650896
15163200c317d0
hexb1f8c2821b4

12230123332020 has 384 divisors, whose sum is σ = 37988495161344. Its totient is φ = 2915270400000.

The previous prime is 12230123331997. The next prime is 12230123332073. The reversal of 12230123332020 is 2023332103221.

It is a super-3 number, since 3×122301233320203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11210011675 + ... + 11210012765.

It is an arithmetic number, because the mean of its divisors is an integer number (98928372816).

Almost surely, 212230123332020 is an apocalyptic number.

12230123332020 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 12230123332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994247580672).

12230123332020 is an abundant number, since it is smaller than the sum of its proper divisors (25758371829324).

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

12230123332020 is a wasteful number, since it uses less digits than its factorization.

12230123332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12230123332020 its reverse (2023332103221), we get a palindrome (14253455435241).

The spelling of 12230123332020 in words is "twelve trillion, two hundred thirty billion, one hundred twenty-three million, three hundred thirty-two thousand, twenty".