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12023131020000 = 253541631229359
BaseRepresentation
bin1010111011110101101001…
…1101000001101011100000
31120120101210200011200000220
42232331122131001223200
53033441333020120000
641323203344043040
72350433252311422
oct256753235015340
946511720150026
1012023131020000
113915a88022561
1214221b6303480
13692a12963879
142d7ccba54812
1515cb389b11a0
hexaef5a741ae0

12023131020000 has 240 divisors, whose sum is σ = 39680259252480. Its totient is φ = 3186495936000.

The previous prime is 12023131019993. The next prime is 12023131020079. The reversal of 12023131020000 is 2013132021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9165321 + ... + 10394679.

It is an arithmetic number, because the mean of its divisors is an integer number (165334413552).

Almost surely, 212023131020000 is an apocalyptic number.

12023131020000 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 12023131020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840129626240).

12023131020000 is an abundant number, since it is smaller than the sum of its proper divisors (27657128232480).

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

12023131020000 is a wasteful number, since it uses less digits than its factorization.

12023131020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229555 (or 1229532 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12023131020000 its reverse (2013132021), we get a palindrome (12025144152021).

The spelling of 12023131020000 in words is "twelve trillion, twenty-three billion, one hundred thirty-one million, twenty thousand".