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12220212101200 = 245230550530253
BaseRepresentation
bin1011000111010011110101…
…1001101100000001010000
31121021020111120222220200121
42301310331121230001100
53100203443244214300
641553515443400024
72400611151001165
oct261647531540120
947236446886617
1012220212101200
113991621172874
121454438383014
136a8490319a4c
143036661d806c
15162d20a5a81a
hexb1d3d66c050

12220212101200 has 30 divisors (see below), whose sum is σ = 29359059574094. Its totient is φ = 4888084840320.

The previous prime is 12220212101161. The next prime is 12220212101203. The reversal of 12220212101200 is 210121202221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 263858923584 + 11956353177616 = 513672^2 + 3457796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220212101203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15275264727 + ... + 15275265526.

Almost surely, 212220212101200 is an apocalyptic number.

12220212101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220212101200 is an abundant number, since it is smaller than the sum of its proper divisors (17138847472894).

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

12220212101200 is a wasteful number, since it uses less digits than its factorization.

12220212101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30550530271 (or 30550530260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220212101200 its reverse (210121202221), we get a palindrome (12430333303421).

The spelling of 12220212101200 in words is "twelve trillion, two hundred twenty billion, two hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30550530253 61101060506 122202121012 152752651265 244404242024 305505302530 488808484048 611010605060 763763256325 1222021210120 1527526512650 2444042420240 3055053025300 6110106050600 12220212101200