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12202020202112 = 2713411009177257
BaseRepresentation
bin1011000110010000000100…
…0101000110011010000000
31121012111112202201200121022
42301210001011012122000
53044404214132431422
641541310344045012
72366365302261416
oct261440105063200
947174482650538
1012202020202112
113984936330824
1214509bba63768
136a685140a510
1430281c0d72b6
151626088e8342
hexb1901146680

12202020202112 has 128 divisors (see below), whose sum is σ = 26843845165200. Its totient is φ = 5488866754560.

The previous prime is 12202020202093. The next prime is 12202020202277. The reversal of 12202020202112 is 21120202020221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3801158518336 + 8400861683776 = 1949656^2 + 2898424^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68749388 + ... + 68926644.

Almost surely, 212202020202112 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 12202020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421922582600).

12202020202112 is an abundant number, since it is smaller than the sum of its proper divisors (14641824963088).

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

12202020202112 is a wasteful number, since it uses less digits than its factorization.

12202020202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178334 (or 178322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12202020202112 its reverse (21120202020221), we get a palindrome (33322222222333).

The spelling of 12202020202112 in words is "twelve trillion, two hundred two billion, twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 328 416 533 656 832 1009 1066 1312 1664 2018 2132 2624 4036 4264 5248 8072 8528 13117 16144 17056 26234 32288 34112 41369 52468 64576 68224 82738 104936 129152 165476 177257 209872 330952 354514 419744 537797 661904 709028 839488 1075594 1323808 1418056 1678976 2151188 2304341 2647616 2836112 4302376 4608682 5295232 5672224 7267537 8604752 9217364 11344448 14535074 17209504 18434728 22688896 29070148 34419008 36869456 58140296 68838016 73738912 94477981 116280592 147477824 178852313 188955962 232561184 294955648 357704626 377911924 465122368 715409252 755823848 930244736 1430818504 1511647696 2325080069 2861637008 3023295392 4650160138 5723274016 6046590784 7332944833 9300320276 11446548032 12093181568 14665889666 18600640552 22893096064 29331779332 37201281104 58663558664 74402562208 95328282829 117327117328 148805124416 190656565658 234654234656 297610248832 381313131316 469308469312 762626262632 938616938624 1525252525264 3050505050528 6101010101056 12202020202112