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12012333323100 = 223521161153138977
BaseRepresentation
bin1010111011001101011011…
…0111000101001101011100
31120112100221011101211110220
42232303112313011031130
53033302224312314400
641314220104001340
72346601550354505
oct256632667051534
946470834354426
1012012333323100
113911447000010
1214200a2160250
136919b191b8c6
142d75859a5bac
1515c705a837a0
hexaecd6dc535c

12012333323100 has 288 divisors, whose sum is σ = 38563014642432. Its totient is φ = 2862397440000.

The previous prime is 12012333323083. The next prime is 12012333323117. The reversal of 12012333323100 is 132333321021.

It is an interprime number because it is at equal distance from previous prime (12012333323083) and next prime (12012333323117).

It is a super-2 number, since 2×120123333231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 308170812 + ... + 308209788.

Almost surely, 212012333323100 is an apocalyptic number.

12012333323100 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 12012333323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19281507321216).

12012333323100 is an abundant number, since it is smaller than the sum of its proper divisors (26550681319332).

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

12012333323100 is a wasteful number, since it uses less digits than its factorization.

12012333323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40597 (or 40590 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12012333323100 its reverse (132333321021), we get a palindrome (12144666644121).

The spelling of 12012333323100 in words is "twelve trillion, twelve billion, three hundred thirty-three million, three hundred twenty-three thousand, one hundred".