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12132212240 = 245547727689
BaseRepresentation
bin10110100110010001…
…01101111000010000
31011022111220020110002
423103020231320100
5144321321242430
65323511225132
7606435050111
oct132310557020
934274806402
1012132212240
115166354695
1224270781a8
1311b4676215
148313d6208
154b0189845
hex2d322de10

12132212240 has 40 divisors (see below), whose sum is σ = 28213562520. Its totient is φ = 4851823616.

The previous prime is 12132212237. The next prime is 12132212243. The reversal of 12132212240 is 4221223121.

It is an interprime number because it is at equal distance from previous prime (12132212237) and next prime (12132212243).

It can be written as a sum of positive squares in 4 ways, for example, as 2285222416 + 9846989824 = 47804^2 + 99232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12132212243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424316 + ... + 452004.

It is an arithmetic number, because the mean of its divisors is an integer number (705339063).

Almost surely, 212132212240 is an apocalyptic number.

12132212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132212240 is an abundant number, since it is smaller than the sum of its proper divisors (16081350280).

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

12132212240 is a wasteful number, since it uses less digits than its factorization.

12132212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33179 (or 33173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12132212240 its reverse (4221223121), we get a palindrome (16353435361).

The spelling of 12132212240 in words is "twelve billion, one hundred thirty-two million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5477 10954 21908 27385 27689 43816 54770 55378 87632 109540 110756 138445 219080 221512 276890 438160 443024 553780 1107560 2215120 151652653 303305306 606610612 758263265 1213221224 1516526530 2426442448 3033053060 6066106120 12132212240