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12150557635225 = 5217223217832
BaseRepresentation
bin1011000011010000010110…
…1010111111001010011001
31121000120201020211102101111
42300310011222333022121
53043033320223311400
641501520014420321
72362564100545312
oct260640552771231
947016636742344
1012150557635225
113965028025609
121442a392016a1
136a1a3c6538c9
14300139449609
151610e59503ba
hexb0d05abf299

12150557635225 has 81 divisors (see below), whose sum is σ = 16740619692573. Its totient is φ = 8745979587840.

The previous prime is 12150557635211. The next prime is 12150557635241. The reversal of 12150557635225 is 52253675505121.

The square root of 12150557635225 is 3485765.

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

12150557635225 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 4 ways, for example, as 284213735689 + 11866343899536 = 533117^2 + 3444756^2 .

It is not a de Polignac number, because 12150557635225 - 221 = 12150555538073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6814669684 + ... + 6814671466.

Almost surely, 212150557635225 is an apocalyptic number.

12150557635225 is the 3485765-th square number.

12150557635225 is the 1742883-rd centered octagonal number.

It is an amenable number.

12150557635225 is a deficient number, since it is larger than the sum of its proper divisors (4590062057348).

12150557635225 is an frugal number, since it uses more digits than its factorization.

12150557635225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 3150000, while the sum is 49.

Multiplying 12150557635225 by its sum of digits (49), we get a square (595377324126025 = 244003552).

The spelling of 12150557635225 in words is "twelve trillion, one hundred fifty billion, five hundred fifty-seven million, six hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 17 23 25 85 115 289 391 425 529 575 1445 1783 1955 2645 6647 7225 8915 8993 9775 13225 30311 33235 41009 44575 44965 151555 152881 166175 205045 224825 515287 697153 757775 764405 943207 1025225 2576435 3179089 3485765 3822025 4716035 11851601 12882175 15895445 16034519 17428825 23580175 54044513 59258005 73119047 79477225 80172595 270222565 272586823 296290025 365595235 400862975 918756721 1243023799 1351112825 1362934115 1681738081 1827976175 4593783605 6215118995 6814670575 8408690405 21131404583 22968918025 28589547377 31075594975 42043452025 105657022915 142947736885 486022305409 528285114575 714738684425 2430111527045 12150557635225