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12022072205796 = 223817212592
BaseRepresentation
bin1010111011110001101101…
…0101111110000111100100
31120120022001212211100000000
42232330123111332013210
53033432200441041141
641322510322021300
72350365104452512
oct256743325760744
946508055740000
1012022072205796
1139155943887a4
121421b5b7a7830
136928a44a33a3
142d7c2b1974b2
1515cac5a635b6
hexaef1b57e1e4

12022072205796 has 243 divisors, whose sum is σ = 33548429647369. Its totient is φ = 3768634760832.

The previous prime is 12022072205791. The next prime is 12022072205827. The reversal of 12022072205796 is 69750227022021.

The square root of 12022072205796 is 3467286.

It is a perfect power (a square), and thus also a powerful number.

12022072205796 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 0 + 72 + 2 + 0 + 579 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9359744796900 + 2662327408896 = 3059370^2 + 1631664^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12022072205791) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9548905015 + ... + 9548906273.

Almost surely, 212022072205796 is an apocalyptic number.

12022072205796 is the 3467286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022072205796

12022072205796 is an abundant number, since it is smaller than the sum of its proper divisors (21526357441573).

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

12022072205796 is an frugal number, since it uses more digits than its factorization.

12022072205796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12022072205796 in words is "twelve trillion, twenty-two billion, seventy-two million, two hundred five thousand, seven hundred ninety-six".