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12244411103232 = 211371122352899
BaseRepresentation
bin1011001000101101111111…
…0001100011100000000000
31121100112222001200120212010
42302023133301203200000
53101103023220300412
642013001012132520
72402425631061420
oct262133761434000
947315861616763
1012244411103232
1139a0909947200
121459070607140
136aa848911069
143048c0036480
1516378a25a33c
hexb22dfc63800

12244411103232 has 288 divisors, whose sum is σ = 41007094128000. Its totient is φ = 3180365168640.

The previous prime is 12244411103231. The next prime is 12244411103273. The reversal of 12244411103232 is 23230111444221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12244411103232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244411103231) 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 23 ways as a sum of consecutive naturals, for example, 4027519 + ... + 6380417.

It is an arithmetic number, because the mean of its divisors is an integer number (142385743500).

Almost surely, 212244411103232 is an apocalyptic number.

12244411103232 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 12244411103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503547064000).

12244411103232 is an abundant number, since it is smaller than the sum of its proper divisors (28762683024768).

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

12244411103232 is a wasteful number, since it uses less digits than its factorization.

12244411103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352953 (or 2352922 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12244411103232 its reverse (23230111444221), we get a palindrome (35474522547453).

The spelling of 12244411103232 in words is "twelve trillion, two hundred forty-four billion, four hundred eleven million, one hundred three thousand, two hundred thirty-two".