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22012022012200 = 235211293113278387
BaseRepresentation
bin1010000000101000100101…
…10000001011100100101000
32212221022212122211212000221
411000110102300023210220
510341121110113342300
6114452103332335424
74431213265653133
oct500242260134450
985838778755027
1022012022012200
1170172786345a0
1225760b1774574
13c38956418b9c
1456155d61921a
152828b34d131a
hex140512c0b928

22012022012200 has 384 divisors, whose sum is σ = 59670809395200. Its totient is φ = 7472529792000.

The previous prime is 22012022012161. The next prime is 22012022012203. The reversal of 22012022012200 is 221022021022.

It is a super-2 number, since 2×220120220122002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22012022012203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2624536407 + ... + 2624544793.

It is an arithmetic number, because the mean of its divisors is an integer number (155392732800).

Almost surely, 222012022012200 is an apocalyptic number.

22012022012200 is a gapful number since it is divisible by the number (20) 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 22012022012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29835404697600).

22012022012200 is an abundant number, since it is smaller than the sum of its proper divisors (37658787383000).

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

22012022012200 is a wasteful number, since it uses less digits than its factorization.

22012022012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9801 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22012022012200 its reverse (221022021022), we get a palindrome (22233044033222).

The spelling of 22012022012200 in words is "twenty-two trillion, twelve billion, twenty-two million, twelve thousand, two hundred".