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12322323132000 = 253537521281563
BaseRepresentation
bin1011001101010000001110…
…1100010110111001100000
31121122000001212220201210020
42303110003230112321200
53103342104210211000
642112444101233440
72411154440305350
oct263240354267140
947560055821706
1012322323132000
113a20960190622
121470195102880
136b4cb42aa12b
14308591776b60
151657ea28aba0
hexb3503b16e60

12322323132000 has 384 divisors, whose sum is σ = 46223492410368. Its totient is φ = 2811115008000.

The previous prime is 12322323131983. The next prime is 12322323132037. The reversal of 12322323132000 is 23132322321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43623219 + ... + 43904781.

It is an arithmetic number, because the mean of its divisors is an integer number (120373678152).

Almost surely, 212322323132000 is an apocalyptic number.

12322323132000 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 12322323132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23111746205184).

12322323132000 is an abundant number, since it is smaller than the sum of its proper divisors (33901169278368).

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

12322323132000 is a wasteful number, since it uses less digits than its factorization.

12322323132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282119 (or 282101 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12322323132000 its reverse (23132322321), we get a palindrome (12345455454321).

The spelling of 12322323132000 in words is "twelve trillion, three hundred twenty-two billion, three hundred twenty-three million, one hundred thirty-two thousand".