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12188380801 = 11329772
BaseRepresentation
bin10110101100111101…
…11110111010000001
31011110102120220020011
423112132332322001
5144430211141201
65333235144521
7611016345622
oct132636767201
934412526204
1012188380801
115195028993
122441a45141
1311c31b125c
14838a57a49
154b5082151
hex2d67bee81

12188380801 has 9 divisors (see below), whose sum is σ = 12309796681. Its totient is φ = 12068154112.

The previous prime is 12188380793. The next prime is 12188380817. The reversal of 12188380801 is 10808388121.

The square root of 12188380801 is 110401.

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

It can be written as a sum of positive squares in 4 ways, for example, as 184987201 + 12003393600 = 13601^2 + 109560^2 .

It is not a de Polignac number, because 12188380801 - 23 = 12188380793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12188380861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12474825 + ... + 12475801.

Almost surely, 212188380801 is an apocalyptic number.

12188380801 is the 110401-st square number.

12188380801 is the 55201-st centered octagonal number.

It is an amenable number.

12188380801 is a deficient number, since it is larger than the sum of its proper divisors (121415880).

12188380801 is an frugal number, since it uses more digits than its factorization.

12188380801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The spelling of 12188380801 in words is "twelve billion, one hundred eighty-eight million, three hundred eighty thousand, eight hundred one".

Divisors: 1 113 977 12769 110401 954529 12475313 107861777 12188380801