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12010212210112 = 268919971055851
BaseRepresentation
bin1010111011000101100001…
…1011101011010111000000
31120112011110100011010110121
42232301120123223113000
53033233403311210422
641313225413110024
72346465153244564
oct256613033532700
946464410133417
1012010212210112
113910558761476
12141b7ab928314
1369173434ab6c
142d7423dc16a4
1515c62e74a8c7
hexaec586eb5c0

12010212210112 has 56 divisors (see below), whose sum is σ = 24112639943280. Its totient is φ = 5934654105600.

The previous prime is 12010212210083. The next prime is 12010212210121. The reversal of 12010212210112 is 21101221201021.

12010212210112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10846987 + ... + 11902837.

It is an arithmetic number, because the mean of its divisors is an integer number (430582856130).

Almost surely, 212010212210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010212210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056319971640).

12010212210112 is an abundant number, since it is smaller than the sum of its proper divisors (12102427733168).

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

12010212210112 is a wasteful number, since it uses less digits than its factorization.

12010212210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057949 (or 1057939 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12010212210112 its reverse (21101221201021), we get a palindrome (33111433411133).

The spelling of 12010212210112 in words is "twelve trillion, ten billion, two hundred twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 1997 2848 3994 5696 7988 15976 31952 63904 127808 177733 355466 710932 1055851 1421864 2111702 2843728 4223404 5687456 8446808 11374912 16893616 33787232 67574464 93970739 187941478 375882956 751765912 1503531824 2108534447 3007063648 4217068894 6014127296 8434137788 16868275576 33736551152 67473102304 134946204608 187659565783 375319131566 750638263132 1501276526264 3002553052528 6005106105056 12010212210112