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12201390461 = 134492090353
BaseRepresentation
bin10110101110100001…
…00111000101111101
31011111100001212010102
423113100213011331
5144442023443321
65334422050445
7611235051641
oct132720470575
934440055112
1012201390461
1151a1404277
122446279a25
1311c5ab7990
1483a682c21
154b62a1c0b
hex2d742717d

12201390461 has 8 divisors (see below), whose sum is σ = 13169230200. Its totient is φ = 11237732352.

The previous prime is 12201390437. The next prime is 12201390463. The reversal of 12201390461 is 16409310221.

It can be written as a sum of positive squares in 4 ways, for example, as 2938290436 + 9263100025 = 54206^2 + 96245^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12201390461 - 210 = 12201389437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201390463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039340 + ... + 1051013.

It is an arithmetic number, because the mean of its divisors is an integer number (1646153775).

Almost surely, 212201390461 is an apocalyptic number.

It is an amenable number.

12201390461 is a deficient number, since it is larger than the sum of its proper divisors (967839739).

12201390461 is a wasteful number, since it uses less digits than its factorization.

12201390461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090815.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 12201390461 in words is "twelve billion, two hundred one million, three hundred ninety thousand, four hundred sixty-one".

Divisors: 1 13 449 5837 2090353 27174589 938568497 12201390461