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12022000020000 = 253354106120983
BaseRepresentation
bin1010111011110001011100…
…0010100110101000100000
31120120021212211222220201000
42232330113002212220200
53033432024001120000
641322455222512000
72350363240053345
oct256742702465040
946507784886630
1012022000020000
113915557664513
121421b3b595600
1369289254a9b9
142d7c217667cc
1515cabe555000
hexaef170a6a20

12022000020000 has 480 divisors, whose sum is σ = 43859569944960. Its totient is φ = 3202692480000.

The previous prime is 12022000019969. The next prime is 12022000020007. The reversal of 12022000020000 is 2000022021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12022000020007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 572929509 + ... + 572950491.

It is an arithmetic number, because the mean of its divisors is an integer number (91374104052).

Almost surely, 212022000020000 is an apocalyptic number.

12022000020000 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 12022000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21929784972480).

12022000020000 is an abundant number, since it is smaller than the sum of its proper divisors (31837569924960).

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

12022000020000 is a wasteful number, since it uses less digits than its factorization.

12022000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22083 (or 22054 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12022000020000 its reverse (2000022021), we get a palindrome (12024000042021).

The spelling of 12022000020000 in words is "twelve trillion, twenty-two billion, twenty thousand".