Search a number
-
+
12012002122112 = 27297014616251
BaseRepresentation
bin1010111011001100001100…
…0111101001100110000000
31120112100002002012002010122
42232303003013221212000
53033301040020401422
641314123153115412
72346560416245116
oct256630307514600
946470062162118
1012012002122112
113911297055893
12142000b258b68
1369195b1182a5
142d75539cdab6
1515c6d695ed42
hexaecc31e9980

12012002122112 has 64 divisors (see below), whose sum is σ = 24790658115600. Its totient is φ = 5790624000000.

The previous prime is 12012002122103. The next prime is 12012002122157. The reversal of 12012002122112 is 21122120021021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293987 + ... + 4910237.

Almost surely, 212012002122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012002122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395329057800).

12012002122112 is an abundant number, since it is smaller than the sum of its proper divisors (12778655993488).

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

12012002122112 is an equidigital number, since it uses as much as digits as its factorization.

12012002122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616995 (or 4616983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12012002122112 its reverse (21122120021021), we get a palindrome (33134122143133).

The spelling of 12012002122112 in words is "twelve trillion, twelve billion, two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 701 928 1402 1856 2804 3712 5608 11216 20329 22432 40658 44864 81316 89728 162632 325264 650528 1301056 2602112 4616251 9232502 18465004 36930008 73860016 133871279 147720032 267742558 295440064 535485116 590880128 1070970232 2141940464 3235991951 4283880928 6471983902 8567761856 12943967804 17135523712 25887935608 51775871216 93843766579 103551742432 187687533158 207103484864 375375066316 414206969728 750750132632 1501500265264 3003000530528 6006001061056 12012002122112