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12255080712 = 2337219228867
BaseRepresentation
bin10110110100111010…
…11011000100001000
31011122002002121022020
423122131123010020
5200044300040322
65344020524440
7612456316200
oct133235330410
934562077266
1012255080712
115219745586
122460250720
131203c65964
1484385b400
154bad5a05c
hex2da75b108

12255080712 has 144 divisors (see below), whose sum is σ = 37615581360. Its totient is φ = 3317049792.

The previous prime is 12255080701. The next prime is 12255080713. The reversal of 12255080712 is 21708055221.

It is not an unprimeable number, because it can be changed into a prime (12255080713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 410103 + ... + 438969.

It is an arithmetic number, because the mean of its divisors is an integer number (261219315).

Almost surely, 212255080712 is an apocalyptic number.

12255080712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12255080712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807790680).

12255080712 is an abundant number, since it is smaller than the sum of its proper divisors (25360500648).

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

12255080712 is a wasteful number, since it uses less digits than its factorization.

12255080712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28928 (or 28898 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 12255080712 in words is "twelve billion, two hundred fifty-five million, eighty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 361 392 399 456 532 588 722 798 931 1064 1083 1176 1444 1596 1862 2166 2527 2793 2888 3192 3724 4332 5054 5586 7448 7581 8664 10108 11172 15162 17689 20216 22344 28867 30324 35378 53067 57734 60648 70756 86601 106134 115468 141512 173202 202069 212268 230936 346404 404138 424536 548473 606207 692808 808276 1096946 1212414 1414483 1616552 1645419 2193892 2424828 2828966 3290838 3839311 4243449 4387784 4849656 5657932 6581676 7678622 8486898 10420987 11315864 11517933 13163352 15357244 16973796 20841974 23035866 26875177 30714488 31262961 33947592 41683948 46071732 53750354 62525922 72946909 80625531 83367896 92143464 107500708 125051844 145893818 161251062 215001416 218840727 250103688 291787636 322502124 437681454 510628363 583575272 645004248 875362908 1021256726 1531885089 1750725816 2042513452 3063770178 4085026904 6127540356 12255080712