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12102021010212 = 223717151117213259
BaseRepresentation
bin1011000000011011100010…
…1010011101001100100100
31120211221102122121101212020
42300012320222131030210
53041234414334311322
641423331450223140
72356225235210040
oct260067052351444
946757378541766
1012102021010212
1139464903a7881
121435552424ab0
1369a2a5b21853
142dba53207020
1515ec047bd05c
hexb01b8a9d324

12102021010212 has 192 divisors, whose sum is σ = 34223392788480. Its totient is φ = 3249284198400.

The previous prime is 12102021010201. The next prime is 12102021010253. The reversal of 12102021010212 is 21201012020121.

It is a super-2 number, since 2×121020210102122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102021010191 and 12102021010200.

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 63 ways as a sum of consecutive naturals, for example, 3713413839 + ... + 3713417097.

It is an arithmetic number, because the mean of its divisors is an integer number (178246837440).

Almost surely, 212102021010212 is an apocalyptic number.

12102021010212 is a gapful number since it is divisible by the number (12) 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 12102021010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111696394240).

12102021010212 is an abundant number, since it is smaller than the sum of its proper divisors (22121371778268).

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

12102021010212 is a wasteful number, since it uses less digits than its factorization.

12102021010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102021010212 its reverse (21201012020121), we get a palindrome (33303033030333).

The spelling of 12102021010212 in words is "twelve trillion, one hundred two billion, twenty-one million, ten thousand, two hundred twelve".