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12204055152 = 24322916317929
BaseRepresentation
bin10110101110110101…
…10001101001110000
31011111112002020101200
423113122301221300
5144443214231102
65334555131200
7611266520502
oct132732615160
934445066350
1012204055152
1151a29642a3
122447143b00
1311c650b813
1483ab77d72
154b662b51c
hex2d76b1a70

12204055152 has 120 divisors (see below), whose sum is σ = 35550886800. Its totient is φ = 3903427584.

The previous prime is 12204055151. The next prime is 12204055223. The reversal of 12204055152 is 25155040221.

12204055152 is a `hidden beast` number, since 1 + 2 + 20 + 40 + 551 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204055151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671724 + ... + 689652.

It is an arithmetic number, because the mean of its divisors is an integer number (296257390).

Almost surely, 212204055152 is an apocalyptic number.

12204055152 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 12204055152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775443400).

12204055152 is an abundant number, since it is smaller than the sum of its proper divisors (23346831648).

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

12204055152 is a wasteful number, since it uses less digits than its factorization.

12204055152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18135 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 12204055152 its reverse (25155040221), we get a palindrome (37359095373).

The spelling of 12204055152 in words is "twelve billion, two hundred four million, fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 163 174 232 261 326 348 464 489 522 652 696 978 1044 1304 1392 1467 1956 2088 2608 2934 3912 4176 4727 5868 7824 9454 11736 14181 17929 18908 23472 28362 35858 37816 42543 53787 56724 71716 75632 85086 107574 113448 143432 161361 170172 215148 226896 286864 322722 340344 430296 519941 645444 680688 860592 1039882 1290888 1559823 2079764 2581776 2922427 3119646 4159528 4679469 5844854 6239292 8319056 8767281 9358938 11689708 12478584 17534562 18717876 23379416 24957168 26301843 35069124 37435752 46758832 52603686 70138248 74871504 84750383 105207372 140276496 169500766 210414744 254251149 339001532 420829488 508502298 678003064 762753447 1017004596 1356006128 1525506894 2034009192 3051013788 4068018384 6102027576 12204055152