Search a number
-
+
12122413344 = 253413993343
BaseRepresentation
bin10110100101000110…
…10101100100100000
31011021211110101220000
423102203111210200
5144311314211334
65322521220000
7606255545646
oct132243254440
934254411800
1012122413344
115160871628
122423931600
1311b2625062
1482dda5196
154ae3a1299
hex2d28d5920

12122413344 has 120 divisors (see below), whose sum is σ = 35687836800. Its totient is φ = 4036708224.

The previous prime is 12122413313. The next prime is 12122413367. The reversal of 12122413344 is 44331422121.

12122413344 is a `hidden beast` number, since 1 + 212 + 2 + 413 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3624537 + ... + 3627879.

It is an arithmetic number, because the mean of its divisors is an integer number (297398640).

Almost surely, 212122413344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843918400).

12122413344 is an abundant number, since it is smaller than the sum of its proper divisors (23565423456).

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

12122413344 is a wasteful number, since it uses less digits than its factorization.

12122413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4747 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12122413344 its reverse (44331422121), we get a palindrome (56453835465).

The spelling of 12122413344 in words is "twelve billion, one hundred twenty-two million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1399 2592 2798 3343 4197 5596 6686 8394 10029 11192 12591 13372 16788 20058 22384 25182 26744 30087 33576 37773 40116 44768 50364 53488 60174 67152 75546 80232 90261 100728 106976 113319 120348 134304 151092 160464 180522 201456 226638 240696 270783 302184 320928 361044 402912 453276 481392 541566 604368 722088 906552 962784 1083132 1208736 1444176 1813104 2166264 2888352 3626208 4332528 4676857 8665056 9353714 14030571 18707428 28061142 37414856 42091713 56122284 74829712 84183426 112244568 126275139 149659424 168366852 224489136 252550278 336733704 378825417 448978272 505100556 673467408 757650834 1010201112 1346934816 1515301668 2020402224 3030603336 4040804448 6061206672 12122413344