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12244202125 = 53613534549
BaseRepresentation
bin10110110011100111…
…11011001010001101
31011121022121220200121
423121303323022031
5200034003432000
65342551424541
7612265000201
oct133163731215
934538556617
1012244202125
115213595311
122458685151
13120192721c
14842228b01
154b9e0bb1a
hex2d9cfb28d

12244202125 has 32 divisors (see below), whose sum is σ = 15578690400. Its totient is φ = 9605376000.

The previous prime is 12244202083. The next prime is 12244202137. The reversal of 12244202125 is 52120244221.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 10836601801 + 1407600324 = 104099^2 + 37518^2 .

It is a de Polignac number, because none of the positive numbers 2k-12244202125 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 12244202125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2689351 + ... + 2693899.

It is an arithmetic number, because the mean of its divisors is an integer number (486834075).

Almost surely, 212244202125 is an apocalyptic number.

It is an amenable number.

12244202125 is a deficient number, since it is larger than the sum of its proper divisors (3334488275).

12244202125 is an equidigital number, since it uses as much as digits as its factorization.

12244202125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12244202125 its reverse (52120244221), we get a palindrome (64364446346).

It can be divided in two parts, 12244 and 202125, that added together give a square (214369 = 4632).

The spelling of 12244202125 in words is "twelve billion, two hundred forty-four million, two hundred two thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 305 353 1525 1765 4549 7625 8825 21533 22745 44125 107665 113725 277489 538325 568625 1387445 1605797 2691625 6937225 8028985 34686125 40144925 97953617 200724625 489768085 2448840425 12244202125