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12000212221122 = 2342983157211929
BaseRepresentation
bin1010111010100000010001…
…1000101111110011000010
31120111012122102102001110000
42232220010120233303002
53033102413312033442
641304453230420430
72345662305606666
oct256500430576302
946435572361400
1012000212221122
113907296a54764
12141987a961716
136907cc665708
142d6b55c628a6
1515c246890d4c
hexaea0462fcc2

12000212221122 has 320 divisors, whose sum is σ = 28495944892800. Its totient is φ = 3769272299520.

The previous prime is 12000212221117. The next prime is 12000212221139. The reversal of 12000212221122 is 22112221200021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000212221095 and 12000212221104.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12917343154 + ... + 12917344082.

It is an arithmetic number, because the mean of its divisors is an integer number (89049827790).

Almost surely, 212000212221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000212221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14247972446400).

12000212221122 is an abundant number, since it is smaller than the sum of its proper divisors (16495732671678).

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

12000212221122 is a wasteful number, since it uses less digits than its factorization.

12000212221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12000212221122 its reverse (22112221200021), we get a palindrome (34112433421143).

The spelling of 12000212221122 in words is "twelve trillion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty-two".