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1220211202112 = 26717413907727
BaseRepresentation
bin10001110000011010010…
…000010101100001000000
311022122120121122120001122
4101300122100111201000
5124442443031431422
62332320212451412
7154104654041360
oct21603220254100
94278517576048
101220211202112
1143054145a411
1217859a319b68
138b0b096c6b6
14430b68aa9a0
1521b19274d42
hex11c1a415840

1220211202112 has 112 divisors (see below), whose sum is σ = 3001510245888. Its totient is φ = 480181370880.

The previous prime is 1220211202097. The next prime is 1220211202127. The reversal of 1220211202112 is 2112021120221.

It is an interprime number because it is at equal distance from previous prime (1220211202097) and next prime (1220211202127).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×12202112021122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1641608 + ... + 2266119.

It is an arithmetic number, because the mean of its divisors is an integer number (26799198624).

Almost surely, 21220211202112 is an apocalyptic number.

It is an amenable number.

1220211202112 is an abundant number, since it is smaller than the sum of its proper divisors (1781299043776).

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

1220211202112 is a wasteful number, since it uses less digits than its factorization.

1220211202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907804 (or 3907794 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1220211202112 its reverse (2112021120221), we get a palindrome (3332232322333).

The spelling of 1220211202112 in words is "one trillion, two hundred twenty billion, two hundred eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 112 119 136 164 224 238 272 287 328 448 476 544 574 656 697 952 1088 1148 1312 1394 1904 2296 2624 2788 3808 4592 4879 5576 7616 9184 9758 11152 18368 19516 22304 39032 44608 78064 156128 312256 3907727 7815454 15630908 27354089 31261816 54708178 62523632 66431359 109416356 125047264 132862718 160216807 218832712 250094528 265725436 320433614 437665424 465019513 531450872 640867228 875330848 930039026 1062901744 1121517649 1281734456 1750661696 1860078052 2125803488 2243035298 2563468912 2723685719 3720156104 4251606976 4486070596 5126937824 5447371438 7440312208 8972141192 10253875648 10894742876 14880624416 17944282384 19065800033 21789485752 29761248832 35888564768 38131600066 43578971504 71777129536 76263200132 87157943008 152526400264 174315886016 305052800528 610105601056 1220211202112