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12220022201112 = 23331131605327409
BaseRepresentation
bin1011000111010011001000…
…0101010001101100011000
31121021020000100122222202000
42301310302011101230120
53100203101140413422
641553444541241000
72400603353610465
oct261646205215430
947236010588660
1012220022201112
113991533a59050
1214543a4863160
136a845cb8a92b
14303648cc466c
15162d0e048cac
hexb1d32151b18

12220022201112 has 256 divisors, whose sum is σ = 38232608256000. Its totient is φ = 3582861465600.

The previous prime is 12220022201083. The next prime is 12220022201113. The reversal of 12220022201112 is 21110222002221.

It is a happy number.

It is a super-3 number, since 3×122200222011123 (a number of 40 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (12220022201113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445826064 + ... + 445853472.

It is an arithmetic number, because the mean of its divisors is an integer number (149346126000).

Almost surely, 212220022201112 is an apocalyptic number.

12220022201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220022201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116304128000).

12220022201112 is an abundant number, since it is smaller than the sum of its proper divisors (26012586054888).

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

12220022201112 is a wasteful number, since it uses less digits than its factorization.

12220022201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33519 (or 33509 counting only the distinct ones).

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

Adding to 12220022201112 its reverse (21110222002221), we get a palindrome (33330244203333).

The spelling of 12220022201112 in words is "twelve trillion, two hundred twenty billion, twenty-two million, two hundred one thousand, one hundred twelve".