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12208089116448 = 253242389198321
BaseRepresentation
bin1011000110100110101011…
…0100001010111100100000
31121020002012201110110222100
42301221222310022330200
53100004131303211243
641544152502010400
72400001554222261
oct261515264127440
947202181413870
1012208089116448
113987470050a05
121452014416a00
136a72aa8548a4
14302c36124968
151628615e50d3
hexb1a6ad0af20

12208089116448 has 36 divisors (see below), whose sum is σ = 34716753425718. Its totient is φ = 4069363038720.

The previous prime is 12208089116437. The next prime is 12208089116479. The reversal of 12208089116448 is 84461198080221.

12208089116448 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 8 + 0 + 89 + 116 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10645159086864 + 1562930029584 = 3262692^2 + 1250172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122080891164482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12208089116394 and 12208089116403.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21194598873 + ... + 21194599448.

Almost surely, 212208089116448 is an apocalyptic number.

12208089116448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12208089116448 is an abundant number, since it is smaller than the sum of its proper divisors (22508664309270).

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

12208089116448 is a wasteful number, since it uses less digits than its factorization.

12208089116448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42389198337 (or 42389198326 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 12208089116448 in words is "twelve trillion, two hundred eight billion, eighty-nine million, one hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42389198321 84778396642 127167594963 169556793284 254335189926 339113586568 381502784889 508670379852 678227173136 763005569778 1017340759704 1356454346272 1526011139556 2034681519408 3052022279112 4069363038816 6104044558224 12208089116448