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12246564561 = 3721143891979
BaseRepresentation
bin10110110011111001…
…11011111011010001
31011121111001221100020
423121330323323101
5200040110031221
65343114214053
7612324036600
oct133174737321
934544057306
1012246564561
115214959240
122459424329
13120227360a
14842681a37
154ba226ac6
hex2d9f3bed1

12246564561 has 96 divisors (see below), whose sum is σ = 21452428800. Its totient is φ = 6140977920.

The previous prime is 12246564553. The next prime is 12246564581. The reversal of 12246564561 is 16546564221.

It is not a de Polignac number, because 12246564561 - 23 = 12246564553 is a prime.

It is a super-2 number, since 2×122465645612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12246564511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6187270 + ... + 6189248.

It is an arithmetic number, because the mean of its divisors is an integer number (223462800).

Almost surely, 212246564561 is an apocalyptic number.

12246564561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12246564561 is a deficient number, since it is larger than the sum of its proper divisors (9205864239).

12246564561 is a wasteful number, since it uses less digits than its factorization.

12246564561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2132 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 12246564561 in words is "twelve billion, two hundred forty-six million, five hundred sixty-four thousand, five hundred sixty-one".

Divisors: 1 3 7 11 21 33 43 49 77 89 129 147 231 267 301 473 539 623 903 979 1419 1617 1869 1979 2107 2937 3311 3827 4361 5937 6321 6853 9933 11481 13083 13853 20559 21769 23177 26789 41559 42097 47971 65307 69531 80367 85097 96971 126291 143913 152383 176131 187523 255291 290913 294679 457149 528393 562569 595679 884037 936067 1066681 1232917 1787037 1937441 2062753 2808201 3200043 3698751 4169753 5812323 6188259 6552469 7573633 8630419 12509259 13562087 19657407 22720899 25891257 40686261 45867283 53015431 83309963 94934609 137601849 159046293 249929889 284803827 371108017 583169741 1113324051 1749509223 4082188187 12246564561