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12152772225 = 345211545579
BaseRepresentation
bin10110101000101110…
…01001011010000001
31011100221120210110000
423110113021122001
5144342102202400
65325524030213
7610104600546
oct132427113201
934327523400
1012152772225
115176a17710
122431b32369
1311b89c44a9
14834028bcd
154b1d9b600
hex2d45c9681

12152772225 has 60 divisors (see below), whose sum is σ = 24557646960. Its totient is φ = 5892242400.

The previous prime is 12152772221. The next prime is 12152772251. The reversal of 12152772225 is 52227725121.

12152772225 is a `hidden beast` number, since 121 + 527 + 7 + 2 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 12152772225 - 22 = 12152772221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12152772225.

It is not an unprimeable number, because it can be changed into a prime (12152772221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 250515 + ... + 295064.

It is an arithmetic number, because the mean of its divisors is an integer number (409294116).

Almost surely, 212152772225 is an apocalyptic number.

12152772225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12152772225 is an abundant number, since it is smaller than the sum of its proper divisors (12404874735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12152772225 is a wasteful number, since it uses less digits than its factorization.

12152772225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545612 (or 545598 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The spelling of 12152772225 in words is "twelve billion, one hundred fifty-two million, seven hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 22275 545579 1636737 2727895 4910211 6001369 8183685 13639475 14730633 18004107 24551055 30006845 40918425 44191899 54012321 73653165 90020535 122755275 150034225 162036963 220959495 270061605 368265825 450102675 486110889 810184815 1104797475 1350308025 2430554445 4050924075 12152772225