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12201111112120 = 2357172563258637
BaseRepresentation
bin1011000110001100101011…
…1001001100100110111000
31121012102012102010010120121
42301203022321030212320
53044400333421041440
641541040231103024
72366333623163320
oct261431271144670
947172172103517
1012201111112120
11398450a15aa87
1214507a7511a74
136a6737c80548
14302773492280
151625a3bc334a
hexb18cae4c9b8

12201111112120 has 64 divisors (see below), whose sum is σ = 33219831948480. Its totient is φ = 3937165264896.

The previous prime is 12201111112109. The next prime is 12201111112123. The reversal of 12201111112120 is 2121111110221.

It is a super-2 number, since 2×122011111121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201111112094 and 12201111112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201111112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281624559 + ... + 1281634078.

It is an arithmetic number, because the mean of its divisors is an integer number (519059874195).

Almost surely, 212201111112120 is an apocalyptic number.

12201111112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201111112120 is an abundant number, since it is smaller than the sum of its proper divisors (21018720836360).

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

12201111112120 is a wasteful number, since it uses less digits than its factorization.

12201111112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563258672 (or 2563258668 counting only the distinct ones).

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

Adding to 12201111112120 its reverse (2121111110221), we get a palindrome (14322222222341).

The spelling of 12201111112120 in words is "twelve trillion, two hundred one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 2563258637 5126517274 10253034548 12816293185 17942810459 20506069096 25632586370 35885620918 43575396829 51265172740 71771241836 87150793658 89714052295 102530345480 143542483672 174301587316 179428104590 217876984145 305027777803 348603174632 358856209180 435753968290 610055555606 717712418360 871507936580 1220111111212 1525138889015 1743015873160 2440222222424 3050277778030 6100555556060 12201111112120