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12070000808112 = 243131753891092213
BaseRepresentation
bin1010111110100100010000…
…0111000101000010110000
31120201212210002221121012010
42233221010013011002300
53040223330201324422
641400514250202520
72354012605036122
oct257510407050260
946655702847163
1012070000808112
113933949879035
12142b2b6a23440
1369727205acc0
142da296765212
1515de7d640b0c
hexafa441c50b0

12070000808112 has 640 divisors, whose sum is σ = 36985270291200. Its totient is φ = 3358273830912.

The previous prime is 12070000808101. The next prime is 12070000808141. The reversal of 12070000808112 is 21180800007021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12070000808112.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5454133918 + ... + 5454136130.

It is an arithmetic number, because the mean of its divisors is an integer number (57789484830).

Almost surely, 212070000808112 is an apocalyptic number.

12070000808112 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 12070000808112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492635145600).

12070000808112 is an abundant number, since it is smaller than the sum of its proper divisors (24915269483088).

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

12070000808112 is a wasteful number, since it uses less digits than its factorization.

12070000808112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 12070000808112 in words is "twelve trillion, seventy billion, eight hundred eight thousand, one hundred twelve".