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12211120121112 = 23321123964510799
BaseRepresentation
bin1011000110110001111101…
…1110100010010100011000
31121020101000221211110201100
42301230133132202110120
53100031333222333422
641545413334551400
72400136640306463
oct261543736422430
947211027743640
1012211120121112
113988785a68640
12145271b508560
136a76717a3483
143030428bc2da
1516298c7607ac
hexb1b1f7a2518

12211120121112 has 96 divisors (see below), whose sum is σ = 36229265280000. Its totient is φ = 3684856781760.

The previous prime is 12211120121107. The next prime is 12211120121119. The reversal of 12211120121112 is 21112102111221.

It is a happy number.

12211120121112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122111201211122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211120121119) 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, 32066112 + ... + 32444687.

It is an arithmetic number, because the mean of its divisors is an integer number (377388180000).

Almost surely, 212211120121112 is an apocalyptic number.

12211120121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211120121112 is an abundant number, since it is smaller than the sum of its proper divisors (24018145158888).

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

12211120121112 is a wasteful number, since it uses less digits than its factorization.

12211120121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64511061 (or 64511054 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12211120121112 its reverse (21112102111221), we get a palindrome (33323222232333).

The spelling of 12211120121112 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 239 264 396 478 717 792 956 1434 1912 2151 2629 2868 4302 5258 5736 7887 8604 10516 15774 17208 21032 23661 31548 47322 63096 94644 189288 64510799 129021598 193532397 258043196 387064794 516086392 580597191 709618789 774129588 1161194382 1419237578 1548259176 2128856367 2322388764 2838475156 4257712734 4644777528 5676950312 6386569101 8515425468 12773138202 15418080961 17030850936 25546276404 30836161922 46254242883 51092552808 61672323844 92508485766 123344647688 138762728649 169598890571 185016971532 277525457298 339197781142 370033943064 508796671713 555050914596 678395562284 1017593343426 1110101829192 1356791124568 1526390015139 2035186686852 3052780030278 4070373373704 6105560060556 12211120121112