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12201222201102 = 232111729432906851
BaseRepresentation
bin1011000110001101000110…
…0000111101111100001110
31121012102111011011001000100
42301203101200331330032
53044401100340413402
641541055240111530
72366336442342024
oct261432140757416
947172434131010
1012201222201102
113984566935860
1214508187655a6
136a6754ca747c
1430278412c714
151625ad81871c
hexb18d183df0e

12201222201102 has 192 divisors, whose sum is σ = 32323264047360. Its totient is φ = 3281717376000.

The previous prime is 12201222201071. The next prime is 12201222201107. The reversal of 12201222201102 is 20110222210221.

It is a happy number.

12201222201102 is a `hidden beast` number, since 1 + 220 + 122 + 220 + 1 + 102 = 666.

12201222201102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201222201107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2743977 + ... + 5650827.

It is an arithmetic number, because the mean of its divisors is an integer number (168350333580).

Almost surely, 212201222201102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201222201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16161632023680).

12201222201102 is an abundant number, since it is smaller than the sum of its proper divisors (20122041846258).

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

12201222201102 is a wasteful number, since it uses less digits than its factorization.

12201222201102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906959 (or 2906956 counting only the distinct ones).

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

Adding to 12201222201102 its reverse (20110222210221), we get a palindrome (32311444411323).

The spelling of 12201222201102 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred one thousand, one hundred two".