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12022011211000 = 2353761149188957
BaseRepresentation
bin1010111011110001011110…
…1101010010110011111000
31120120021220122001110212111
42232330113231102303320
53033432034332223000
641322500302422104
72350363434143230
oct256742755226370
946507818043774
1012022011211000
113915562a0847a
121421b43291934
136928949686ab
142d7c2303acc0
1515cac0515cba
hexaef17b52cf8

12022011211000 has 256 divisors, whose sum is σ = 32896831968000. Its totient is φ = 4027030272000.

The previous prime is 12022011210997. The next prime is 12022011211009. The reversal of 12022011211000 is 11211022021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022011211009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63528522 + ... + 63717478.

It is an arithmetic number, because the mean of its divisors is an integer number (128503249875).

Almost surely, 212022011211000 is an apocalyptic number.

12022011211000 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 12022011211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448415984000).

12022011211000 is an abundant number, since it is smaller than the sum of its proper divisors (20874820757000).

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

12022011211000 is a wasteful number, since it uses less digits than its factorization.

12022011211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189195 (or 189181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12022011211000 its reverse (11211022021), we get a palindrome (12033222233021).

The spelling of 12022011211000 in words is "twelve trillion, twenty-two billion, eleven million, two hundred eleven thousand".