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12622800125 = 531327732
BaseRepresentation
bin10111100000110000…
…01010010011111101
31012120201000200111202
423300120022103331
5201322414101000
65444314225245
7624543013355
oct136030122375
935521020452
1012622800125
115398272621
122543425225
1312621b4200
1487a61bb65
154dd293dd5
hex2f060a4fd

12622800125 has 36 divisors (see below), whose sum is σ = 17080354044. Its totient is φ = 9309393600.

The previous prime is 12622800103. The next prime is 12622800139. The reversal of 12622800125 is 52100822621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12622800125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 6869425924 + 5753374201 = 82882^2 + 75851^2 .

It is not a de Polignac number, because 12622800125 - 26 = 12622800061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16329239 + ... + 16330011.

It is an arithmetic number, because the mean of its divisors is an integer number (474454279).

Almost surely, 212622800125 is an apocalyptic number.

It is an amenable number.

12622800125 is a deficient number, since it is larger than the sum of its proper divisors (4457553919).

12622800125 is an frugal number, since it uses more digits than its factorization.

12622800125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 12622800125 in words is "twelve billion, six hundred twenty-two million, eight hundred thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 773 845 1625 3865 4225 10049 19325 21125 50245 96625 130637 251225 597529 653185 1256125 2987645 3265925 7767877 14938225 16329625 38839385 74691125 100982401 194196925 504912005 970984625 2524560025 12622800125