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12002130132221 = 78672158970667
BaseRepresentation
bin1010111010100111011010…
…1100111111110011111101
31120111101121002022000212102
42232221312230333303331
53033120330303212341
641305411422114445
72346060654565355
oct256516654776375
946441532260772
1012002130132221
113908090623759
12141a11511ba25
13690a46aca958
142d6c9886db65
1515c309e3ac9b
hexaea76b3fcfd

12002130132221 has 8 divisors (see below), whose sum is σ = 12004381640160. Its totient is φ = 11999878824528.

The previous prime is 12002130132133. The next prime is 12002130132257. The reversal of 12002130132221 is 12223103120021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12002130132221 - 210 = 12002130131197 is a prime.

It is a super-3 number, since 3×120021301322213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002130132193 and 12002130132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002130138221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169805330 + ... + 169875996.

It is an arithmetic number, because the mean of its divisors is an integer number (1500547705020).

Almost surely, 212002130132221 is an apocalyptic number.

It is an amenable number.

12002130132221 is a deficient number, since it is larger than the sum of its proper divisors (2251507939).

12002130132221 is an equidigital number, since it uses as much as digits as its factorization.

12002130132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100123.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12002130132221 its reverse (12223103120021), we get a palindrome (24225233252242).

The spelling of 12002130132221 in words is "twelve trillion, two billion, one hundred thirty million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 7867 21589 70667 169840663 555937289 1525629863 12002130132221