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12111221000112 = 24313103191986581
BaseRepresentation
bin1011000000111101110100…
…0001101000011110110000
31120212211011211000022102220
42300033131001220132300
53041412240034000422
641431452414041040
72360002226634033
oct260173501503660
946784154008386
1012111221000112
11394a381574413
12143729b4a9180
1369b110b54660
142dc286ddb01a
15160092300e5c
hexb03dd0687b0

12111221000112 has 160 divisors (see below), whose sum is σ = 34199320436736. Its totient is φ = 3671024716800.

The previous prime is 12111220999987. The next prime is 12111221000117. The reversal of 12111221000112 is 21100012211121.

It is a happy number.

It is a super-2 number, since 2×121112210001122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111221000091 and 12111221000100.

It is not an unprimeable number, because it can be changed into a prime (12111221000117) 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, 11782662 + ... + 12769242.

Almost surely, 212111221000112 is an apocalyptic number.

12111221000112 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 12111221000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099660218368).

12111221000112 is an abundant number, since it is smaller than the sum of its proper divisors (22088099436624).

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

12111221000112 is a wasteful number, since it uses less digits than its factorization.

12111221000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986899 (or 986893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12111221000112 its reverse (21100012211121), we get a palindrome (33211233211233).

The spelling of 12111221000112 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 191 206 208 309 312 382 412 573 618 624 764 824 1146 1236 1339 1528 1648 2292 2472 2483 2678 3056 4017 4584 4944 4966 5356 7449 8034 9168 9932 10712 14898 16068 19673 19864 21424 29796 32136 39346 39728 59019 59592 64272 78692 118038 119184 157384 236076 255749 314768 472152 511498 767247 944304 986581 1022996 1534494 1973162 2045992 2959743 3068988 3946324 4091984 5919486 6137976 7892648 11838972 12275952 12825553 15785296 23677944 25651106 38476659 47355888 51302212 76953318 101617843 102604424 153906636 188436971 203235686 205208848 304853529 307813272 376873942 406471372 565310913 609707058 615626544 753747884 812942744 1130621826 1219414116 1321031959 1507495768 1625885488 2261243652 2438828232 2449680623 2642063918 3014991536 3963095877 4522487304 4877656464 4899361246 5284127836 7349041869 7926191754 9044974608 9798722492 10568255672 14698083738 15852383508 19409008013 19597444984 21136511344 29396167476 31704767016 38818016026 39194889968 58227024039 58792334952 63409534032 77636032052 116454048078 117584669904 155272064104 232908096156 252317104169 310544128208 465816192312 504634208338 756951312507 931632384624 1009268416676 1513902625014 2018536833352 3027805250028 4037073666704 6055610500056 12111221000112