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12412204224 = 263758715733
BaseRepresentation
bin10111000111101001…
…10011010011000000
31012001000202022020120
423203310303103000
5200410011013344
65411352340240
7616404665220
oct134364632300
935030668216
1012412204224
11529a402822
1224a49a4680
13122a68a054
1485a67c080
154c9a45219
hex2e3d334c0

12412204224 has 112 divisors (see below), whose sum is σ = 37598469888. Its totient is φ = 3540077568.

The previous prime is 12412204199. The next prime is 12412204229. The reversal of 12412204224 is 42240221421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12412204194 and 12412204203.

It is not an unprimeable number, because it can be changed into a prime (12412204229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781062 + ... + 796794.

It is an arithmetic number, because the mean of its divisors is an integer number (335700624).

Almost surely, 212412204224 is an apocalyptic number.

12412204224 is a gapful number since it is divisible by the number (14) 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 12412204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799234944).

12412204224 is an abundant number, since it is smaller than the sum of its proper divisors (25186265664).

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

12412204224 is a wasteful number, since it uses less digits than its factorization.

12412204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16342 (or 16332 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12412204224 its reverse (42240221421), we get a palindrome (54652425645).

The spelling of 12412204224 in words is "twelve billion, four hundred twelve million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 587 672 1174 1344 1761 2348 3522 4109 4696 7044 8218 9392 12327 14088 15733 16436 18784 24654 28176 31466 32872 37568 47199 49308 56352 62932 65744 94398 98616 110131 112704 125864 131488 188796 197232 220262 251728 262976 330393 377592 394464 440524 503456 660786 755184 788928 881048 1006912 1321572 1510368 1762096 2643144 3020736 3524192 5286288 7048384 9235271 10572576 18470542 21145152 27705813 36941084 55411626 64646897 73882168 110823252 129293794 147764336 193940691 221646504 258587588 295528672 387881382 443293008 517175176 591057344 775762764 886586016 1034350352 1551525528 1773172032 2068700704 3103051056 4137401408 6206102112 12412204224