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1212011120112 = 2431341233203321
BaseRepresentation
bin10001101000110001011…
…111100000010111110000
311021212102010202020020220
4101220301133200113300
5124324144321320422
62324442404333040
7153364523352642
oct21506137402760
94255363666226
101212011120112
11428013753441
12176a900a4180
138a3a4b43b80
14429397dc892
15217d9405e5c
hex11a317e05f0

1212011120112 has 160 divisors (see below), whose sum is σ = 3468959597376. Its totient is φ = 362267443200.

The previous prime is 1212011120101. The next prime is 1212011120149. The reversal of 1212011120112 is 2110211102121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1212011120091 and 1212011120100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5859412 + ... + 6062732.

Almost surely, 21212011120112 is an apocalyptic number.

1212011120112 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 1212011120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734479798688).

1212011120112 is an abundant number, since it is smaller than the sum of its proper divisors (2256948477264).

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

1212011120112 is a wasteful number, since it uses less digits than its factorization.

1212011120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203619 (or 203613 counting only the distinct ones).

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

Adding to 1212011120112 its reverse (2110211102121), we get a palindrome (3322222222233).

The spelling of 1212011120112 in words is "one trillion, two hundred twelve billion, eleven million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 233 246 312 328 466 492 533 624 656 699 932 984 1066 1398 1599 1864 1968 2132 2796 3029 3198 3728 4264 5592 6058 6396 8528 9087 9553 11184 12116 12792 18174 19106 24232 25584 28659 36348 38212 48464 57318 72696 76424 114636 124189 145392 152848 203321 229272 248378 372567 406642 458544 496756 609963 745134 813284 993512 1219926 1490268 1626568 1987024 2439852 2643173 2980536 3253136 4879704 5286346 5961072 7929519 8336161 9759408 10572692 15859038 16672322 21145384 25008483 31718076 33344644 42290768 47373793 50016966 63436152 66689288 94747586 100033932 108370093 126872304 133378576 142121379 189495172 200067864 216740186 284242758 325110279 378990344 400135728 433480372 568485516 615859309 650220558 757980688 866960744 1136971032 1231718618 1300441116 1733921488 1847577927 1942325513 2273942064 2463437236 2600882232 3695155854 3884651026 4926874472 5201764464 5826976539 7390311708 7769302052 9853748944 11653953078 14780623416 15538604104 23307906156 25250231669 29561246832 31077208208 46615812312 50500463338 75750695007 93231624624 101000926676 151501390014 202001853352 303002780028 404003706704 606005560056 1212011120112