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12022320222000 = 2432531166799091
BaseRepresentation
bin1010111011110010101000…
…1000000100111100110000
31120120022201011111212021100
42232330222020010330300
53033433202434101000
641322551101524400
72350404205533024
oct256745210047460
946508634455240
1012022320222000
113915701386a70
12142200a873700
1369291399cb3a
142d7c520b8384
1515cadc704a00
hexaef2a204f30

12022320222000 has 480 divisors, whose sum is σ = 45819123816960. Its totient is φ = 2913744960000.

The previous prime is 12022320221981. The next prime is 12022320222013. The reversal of 12022320222000 is 22202322021.

12022320222000 is a `hidden beast` number, since 1 + 20 + 223 + 202 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1322437455 + ... + 1322446545.

It is an arithmetic number, because the mean of its divisors is an integer number (95456507952).

Almost surely, 212022320222000 is an apocalyptic number.

12022320222000 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 12022320222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22909561908480).

12022320222000 is an abundant number, since it is smaller than the sum of its proper divisors (33796803594960).

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

12022320222000 is a wasteful number, since it uses less digits than its factorization.

12022320222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15810 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12022320222000 its reverse (22202322021), we get a palindrome (12044522544021).

The spelling of 12022320222000 in words is "twelve trillion, twenty-two billion, three hundred twenty million, two hundred twenty-two thousand".