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12001300002120 = 233511132241223229
BaseRepresentation
bin1010111010100100010100…
…1110010011010101001000
31120111022110020021001110010
42232221011032103111020
53033112130300031440
641305153205351520
72346031254602112
oct256510516232510
946438406231403
1012001300002120
1139077a4a83720
121419b231085a0
13690943b28800
142d6c1a5003b2
1515c2ac111580
hexaea45393548

12001300002120 has 384 divisors, whose sum is σ = 42707363529600. Its totient is φ = 2674450022400.

The previous prime is 12001300002119. The next prime is 12001300002239. The reversal of 12001300002120 is 2120000310021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12001300002096 and 12001300002105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53650666 + ... + 53873894.

It is an arithmetic number, because the mean of its divisors is an integer number (111217092525).

Almost surely, 212001300002120 is an apocalyptic number.

12001300002120 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 12001300002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21353681764800).

12001300002120 is an abundant number, since it is smaller than the sum of its proper divisors (30706063527480).

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

12001300002120 is a wasteful number, since it uses less digits than its factorization.

12001300002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223521 (or 223504 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12001300002120 its reverse (2120000310021), we get a palindrome (14121300312141).

The spelling of 12001300002120 in words is "twelve trillion, one billion, three hundred million, two thousand, one hundred twenty".