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12117504740 = 225111731811759
BaseRepresentation
bin10110100100100001…
…00111001011100100
31011021111020000112212
423102100213023210
5144304040122430
65322224102552
7606166043105
oct132220471344
934244200485
1012117504740
115159019730
122422164a58
1311b15c6a63
1482d4883ac
154adc31b95
hex2d24272e4

12117504740 has 96 divisors (see below), whose sum is σ = 28090782720. Its totient is φ = 4354214400.

The previous prime is 12117504709. The next prime is 12117504743. The reversal of 12117504740 is 4740571121.

It is a super-2 number, since 2×121175047402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12117504697 and 12117504706.

It is not an unprimeable number, because it can be changed into a prime (12117504743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6887981 + ... + 6889739.

It is an arithmetic number, because the mean of its divisors is an integer number (292612320).

Almost surely, 212117504740 is an apocalyptic number.

12117504740 is a gapful number since it is divisible by the number (10) 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 12117504740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045391360).

12117504740 is an abundant number, since it is smaller than the sum of its proper divisors (15973277980).

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

12117504740 is a wasteful number, since it uses less digits than its factorization.

12117504740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The spelling of 12117504740 in words is "twelve billion, one hundred seventeen million, five hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 181 220 346 362 692 724 865 905 1730 1759 1810 1903 1991 3460 3518 3620 3806 3982 7036 7612 7964 8795 9515 9955 17590 19030 19349 19910 31313 35180 38060 38698 39820 62626 77396 96745 125252 156565 193490 304307 313130 318379 344443 386980 608614 626260 636758 688886 1217228 1273516 1377772 1521535 1591895 1722215 3043070 3183790 3347377 3444430 3502169 6086140 6367580 6694754 6888860 7004338 13389508 14008676 16736885 17510845 33473770 35021690 55079567 66947540 70043380 110159134 220318268 275397835 550795670 605875237 1101591340 1211750474 2423500948 3029376185 6058752370 12117504740