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12222100201122 = 23271954188710639
BaseRepresentation
bin1011000111011010110111…
…1100001101111010100010
31121021102101011210022212100
42301312231330031322202
53100221330122413442
641554431052111230
72401006015405530
oct261665574157242
947242334708770
1012222100201122
1139923aaa30229
121454884765516
136a8701544c36
143037a4c85150
15162dd16b784c
hexb1dadf0dea2

12222100201122 has 192 divisors, whose sum is σ = 31954974105600. Its totient is φ = 3298089778560.

The previous prime is 12222100201111. The next prime is 12222100201127. The reversal of 12222100201122 is 22110200122221.

It is a happy number.

12222100201122 is a `hidden beast` number, since 122 + 221 + 0 + 0 + 201 + 122 = 666.

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 = 12222100201095 and 12222100201104.

It is not an unprimeable number, because it can be changed into a prime (12222100201127) 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, 1148796279 + ... + 1148806917.

It is an arithmetic number, because the mean of its divisors is an integer number (166432156800).

Almost surely, 212222100201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222100201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977487052800).

12222100201122 is an abundant number, since it is smaller than the sum of its proper divisors (19732873904478).

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

12222100201122 is a wasteful number, since it uses less digits than its factorization.

12222100201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12101 (or 12098 counting only the distinct ones).

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

Adding to 12222100201122 its reverse (22110200122221), we get a palindrome (34332300323343).

The spelling of 12222100201122 in words is "twelve trillion, two hundred twenty-two billion, one hundred million, two hundred one thousand, one hundred twenty-two".