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12145542225 = 352717093217
BaseRepresentation
bin10110100111110111…
…00100010001010001
31011100102222110202020
423103323210101101
5144333224322400
65325105042053
7606656256045
oct132373442121
934312873666
1012145542225
115172929703
12242b626329
1311b736269b
148330a6025
154b141e2a0
hex2d3ee4451

12145542225 has 48 divisors (see below), whose sum is σ = 20398515840. Its totient is φ = 6375398400.

The previous prime is 12145542221. The next prime is 12145542301. The reversal of 12145542225 is 52224554121.

12145542225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12145542225 - 22 = 12145542221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12145542221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3773817 + ... + 3777033.

It is an arithmetic number, because the mean of its divisors is an integer number (424969080).

Almost surely, 212145542225 is an apocalyptic number.

12145542225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12145542225 is a deficient number, since it is larger than the sum of its proper divisors (8252973615).

12145542225 is a wasteful number, since it uses less digits than its factorization.

12145542225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 4005 counting only the distinct ones).

The product of its digits is 32000, while the sum is 33.

The spelling of 12145542225 in words is "twelve billion, one hundred forty-five million, five hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 71 75 213 355 709 1065 1775 2127 3217 3545 5325 9651 10635 16085 17725 48255 50339 53175 80425 151017 228407 241275 251695 685221 755085 1142035 1258475 2280853 3426105 3775425 5710175 6842559 11404265 17130525 34212795 57021325 161940563 171063975 485821689 809702815 2429108445 4048514075 12145542225