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12022002201024 = 263253678966041
BaseRepresentation
bin1010111011110001011100…
…1010111011000111000000
31120120021220000002201111200
42232330113022323013000
53033432030030413044
641322455341341200
72350363264436124
oct256742712730700
946507800081450
1012022002201024
113915558914112
121421b40267800
13692892b3264a
142d7c21b73584
1515cabe836369
hexaef172bb1c0

12022002201024 has 336 divisors, whose sum is σ = 36033999824160. Its totient is φ = 3829466234880.

The previous prime is 12022002201023. The next prime is 12022002201043. The reversal of 12022002201024 is 42010220022021.

12022002201024 is a `hidden beast` number, since 120 + 220 + 0 + 220 + 102 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12022002200988 and 12022002201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022002201023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 182005444 + ... + 182071484.

Almost surely, 212022002201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022002201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016999912080).

12022002201024 is an abundant number, since it is smaller than the sum of its proper divisors (24011997623136).

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

12022002201024 is a wasteful number, since it uses less digits than its factorization.

12022002201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66268 (or 66255 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12022002201024 its reverse (42010220022021), we get a palindrome (54032222223045).

The spelling of 12022002201024 in words is "twelve trillion, twenty-two billion, two million, two hundred one thousand, twenty-four".