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12012000010000 = 245423412116037
BaseRepresentation
bin1010111011001100001011…
…1111100101111100010000
31120112100001221012202212021
42232303002333211330100
53033301034000310000
641314123035541224
72346560362300264
oct256630277457420
946470057182767
1012012000010000
113911295942a41
12142000a5ba814
1369195a858b13
142d75536000a4
1515c6d669411a
hexaecc2fe5f10

12012000010000 has 400 divisors, whose sum is σ = 31239367302528. Its totient is φ = 4461811200000.

The previous prime is 12012000009991. The next prime is 12012000010007. The reversal of 12012000010000 is 1000021021.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (12012000010007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1989726982 + ... + 1989733018.

Almost surely, 212012000010000 is an apocalyptic number.

12012000010000 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 12012000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619683651264).

12012000010000 is an abundant number, since it is smaller than the sum of its proper divisors (19227367292528).

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

12012000010000 is a wasteful number, since it uses less digits than its factorization.

12012000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12012000010000 its reverse (1000021021), we get a palindrome (12013000031021).

The spelling of 12012000010000 in words is "twelve trillion, twelve billion, ten thousand".