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12232110000000 = 2735711101367
BaseRepresentation
bin1011001000000000001010…
…0100100100011110000000
31121022101012202222210112010
42302000002210210132000
53100402330130000000
642003204224532520
72401512042321612
oct262000244443600
947271182883463
1012232110000000
113996677228290
1214567b8a81140
136a9638283557
14304074438db2
151632ba35dd50
hexb2002924780

12232110000000 has 1024 divisors, whose sum is σ = 44867135139840. Its totient is φ = 2928000000000.

The previous prime is 12232109999999. The next prime is 12232110000083. The reversal of 12232110000000 is 1123221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33329999817 + ... + 33330000183.

It is an arithmetic number, because the mean of its divisors is an integer number (43815561660).

Almost surely, 212232110000000 is an apocalyptic number.

12232110000000 is a gapful number since it is divisible by the number (10) 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 12232110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433567569920).

12232110000000 is an abundant number, since it is smaller than the sum of its proper divisors (32635025139840).

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

12232110000000 is an frugal number, since it uses more digits than its factorization.

12232110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12232110000000 its reverse (1123221), we get a palindrome (12232111123221).

The spelling of 12232110000000 in words is "twelve trillion, two hundred thirty-two billion, one hundred ten million", and thus it is an aban number.