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12023001000000 = 2632561335889
BaseRepresentation
bin1010111011110101001010…
…1101000010100001000000
31120120101110121111222010100
42232331102231002201000
53033441101224000000
641323142421202400
72350430113205364
oct256752255024100
946511417458110
1012023001000000
113915a20697611
12142217a860400
136929c1a3bc63
142d7cb868b2a4
1515cb2c37ba00
hexaef52b42840

12023001000000 has 294 divisors, whose sum is σ = 43076682791090. Its totient is φ = 3206131200000.

The previous prime is 12023000999957. The next prime is 12023001000067. The reversal of 12023001000000 is 10032021.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 10764278562816 + 1258722437184 = 3280896^2 + 1121928^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 8332056 + ... + 9667944.

Almost surely, 212023001000000 is an apocalyptic number.

12023001000000 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 12023001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21538341395545).

12023001000000 is an abundant number, since it is smaller than the sum of its proper divisors (31053681791090).

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

12023001000000 is an frugal number, since it uses more digits than its factorization.

12023001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335937 (or 1335899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12023001000000 its reverse (10032021), we get a palindrome (12023011032021).

The spelling of 12023001000000 in words is "twelve trillion, twenty-three billion, one million", and thus it is an aban number and an uban number.