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22012011111200 = 2552112972344297
BaseRepresentation
bin1010000000101000100100…
…00110100110001100100000
32212221022211220100000200012
411000110102012212030200
510341121044321024300
6114452102302544052
74431213104211605
oct500242206461440
985838756300605
1022012011111200
117017272469500
1225760a9b98028
13c389540a01a6
1456155bdbc6ac
152828b257b435
hex1405121a6320

22012011111200 has 216 divisors, whose sum is σ = 59675047997796. Its totient is φ = 7921845043200.

The previous prime is 22012011111193. The next prime is 22012011111263. The reversal of 22012011111200 is 211111021022.

It can be written as a sum of positive squares in 6 ways, for example, as 1267885008016 + 20744126103184 = 1126004^2 + 4554572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8217452 + ... + 10561748.

Almost surely, 222012011111200 is an apocalyptic number.

22012011111200 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 22012011111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29837523998898).

22012011111200 is an abundant number, since it is smaller than the sum of its proper divisors (37663036886596).

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

22012011111200 is a wasteful number, since it uses less digits than its factorization.

22012011111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344436 (or 2344412 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22012011111200 its reverse (211111021022), we get a palindrome (22223122132222).

The spelling of 22012011111200 in words is "twenty-two trillion, twelve billion, eleven million, one hundred eleven thousand, two hundred".