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12323114000000 = 275614094373
BaseRepresentation
bin1011001101010011001011…
…0101010001111010000000
31121122002010000001222201122
42303110302311101322000
53103400214141000000
642113054352251412
72411213152466066
oct263246265217200
947562100058648
1012323114000000
113a21226654441
121470375b40b68
136b50ac0b356b
14308628806036
1516584490c085
hexb3532d51e80

12323114000000 has 224 divisors, whose sum is σ = 30715850972700. Its totient is φ = 4924620800000.

The previous prime is 12323113999969. The next prime is 12323114000047. The reversal of 12323114000000 is 41132321.

It can be written as a sum of positive squares in 14 ways, for example, as 12277287178816 + 45826821184 = 3503896^2 + 214072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2817997814 + ... + 2818002186.

Almost surely, 212323114000000 is an apocalyptic number.

12323114000000 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 12323114000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357925486350).

12323114000000 is an abundant number, since it is smaller than the sum of its proper divisors (18392736972700).

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

12323114000000 is an frugal number, since it uses more digits than its factorization.

12323114000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12323114000000 its reverse (41132321), we get a palindrome (12323155132321).

The spelling of 12323114000000 in words is "twelve trillion, three hundred twenty-three billion, one hundred fourteen million", and thus it is an aban number.