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12018251560225 = 5278728812
BaseRepresentation
bin1010111011100011011110…
…0111010111010100100001
31120112221012121121102120111
42232320313213113110201
53033401334344411400
641321035240211321
72350201322505241
oct256706747272441
946487177542514
1012018251560225
113913a03766179
121421274169b41
13692415a8aa71
142d79879adb21
1515c95041a3ba
hexaee379d7521

12018251560225 has 27 divisors (see below), whose sum is σ = 14938548328281. Its totient is φ = 9591485059200.

The previous prime is 12018251560163. The next prime is 12018251560243. The reversal of 12018251560225 is 52206515281021.

The square root of 12018251560225 is 3466735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2713238190481 + 9305013369744 = 1647191^2 + 3050412^2 .

It is not a de Polignac number, because 12018251560225 - 27 = 12018251560097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13641601785 + ... + 13641602665.

Almost surely, 212018251560225 is an apocalyptic number.

12018251560225 is the 3466735-th square number.

12018251560225 is the 1733368-th centered octagonal number.

It is an amenable number.

12018251560225 is a deficient number, since it is larger than the sum of its proper divisors (2920296768056).

12018251560225 is an frugal number, since it uses more digits than its factorization.

12018251560225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 12018251560225 in words is "twelve trillion, eighteen billion, two hundred fifty-one million, five hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 25 787 881 3935 4405 19675 22025 619369 693347 776161 3096845 3466735 3880805 15484225 17333675 19404025 545664089 610838707 2728320445 3054193535 13641602225 15270967675 480730062409 2403650312045 12018251560225