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12221201220102 = 2337283118147119
BaseRepresentation
bin1011000111010111100001…
…0110111000001000000110
31121021100001112012100202000
42301311320112320020012
53100213010003020402
641554201535530130
72400644521242600
oct261657026701006
947240045170660
1012221201220102
113991a89534506
121454673689946
136a85ba2172c4
1430371b712170
15162d7c7dcc1c
hexb1d785b8206

12221201220102 has 192 divisors, whose sum is σ = 32000601830400. Its totient is φ = 3446708086080.

The previous prime is 12221201220073. The next prime is 12221201220143. The reversal of 12221201220102 is 20102210212221.

It is a happy number.

12221201220102 is a `hidden beast` number, since 1 + 222 + 120 + 1 + 220 + 102 = 666.

It is a super-2 number, since 2×122212012201022 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259345299 + ... + 259392417.

It is an arithmetic number, because the mean of its divisors is an integer number (166669801200).

Almost surely, 212221201220102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221201220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000300915200).

12221201220102 is an abundant number, since it is smaller than the sum of its proper divisors (19779400610298).

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

12221201220102 is a wasteful number, since it uses less digits than its factorization.

12221201220102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48408 (or 48395 counting only the distinct ones).

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

Adding to 12221201220102 its reverse (20102210212221), we get a palindrome (32323411432323).

The spelling of 12221201220102 in words is "twelve trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty thousand, one hundred two".