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12022323312000 = 273532391047971
BaseRepresentation
bin1010111011110010101001…
…0011110111010110000000
31120120022201101022211221210
42232330222103313112000
53033433204231441000
641322551252050120
72350404244022541
oct256745223672600
946508641284853
1012022323312000
1139157030a7591
12142200b903940
13692914512441
142d7c526804c8
1515cadcb15350
hexaef2a4f7580

12022323312000 has 256 divisors, whose sum is σ = 40020793113600. Its totient is φ = 3192535808000.

The previous prime is 12022323311993. The next prime is 12022323312059. The reversal of 12022323312000 is 21332322021.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 10948015 + ... + 11995985.

It is an arithmetic number, because the mean of its divisors is an integer number (156331223100).

Almost surely, 212022323312000 is an apocalyptic number.

12022323312000 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 12022323312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20010396556800).

12022323312000 is an abundant number, since it is smaller than the sum of its proper divisors (27998469801600).

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

12022323312000 is a wasteful number, since it uses less digits than its factorization.

12022323312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048242 (or 1048220 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12022323312000 its reverse (21332322021), we get a palindrome (12043655634021).

The spelling of 12022323312000 in words is "twelve trillion, twenty-two billion, three hundred twenty-three million, three hundred twelve thousand".