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12012010330320 = 243257111317980393
BaseRepresentation
bin1010111011001100001110…
…0110111101100011010000
31120112100002122122002200100
42232303003212331203100
53033301044121032240
641314124045052400
72346560546102550
oct256630346754320
946470078562610
1012012010330320
1139112a0751830
121420011b57100
1369195ca30410
142d7554b29160
1515c6d7531e30
hexaecc39bd8d0

12012010330320 has 960 divisors, whose sum is σ = 57349378404864. Its totient is φ = 2168470241280.

The previous prime is 12012010330279. The next prime is 12012010330321. The reversal of 12012010330320 is 2303301021021.

12012010330320 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 0 + 10 + 330 + 320 = 666.

It is a super-2 number, since 2×120120103303202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 12012010330293 and 12012010330302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012010330321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11762044 + ... + 12742436.

Almost surely, 212012010330320 is an apocalyptic number.

12012010330320 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 12012010330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28674689202432).

12012010330320 is an abundant number, since it is smaller than the sum of its proper divisors (45337368074544).

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

12012010330320 is a wasteful number, since it uses less digits than its factorization.

12012010330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980460 (or 980451 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12012010330320 its reverse (2303301021021), we get a palindrome (14315311351341).

The spelling of 12012010330320 in words is "twelve trillion, twelve billion, ten million, three hundred thirty thousand, three hundred twenty".