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2112210221120 = 26553124540697
BaseRepresentation
bin11110101111001001100…
…010100011100001000000
321110220222120011200201122
4132233021202203201000
5234101301304033440
64254200323251412
7305413352434616
oct36571142434100
97426876150648
102112210221120
1174486867181a
122a143ab19b68
1312424693100c
14743354116b6
1539e241607b5
hex1ebc98a3840

2112210221120 has 56 divisors (see below), whose sum is σ = 5124600641304. Its totient is φ = 828942872576.

The previous prime is 2112210221041. The next prime is 2112210221129. The reversal of 2112210221120 is 211220122112.

It can be written as a sum of positive squares in 4 ways, for example, as 271499355136 + 1840710865984 = 521056^2 + 1356728^2 .

It is a super-2 number, since 2×21122102211202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112210221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62253389 + ... + 62287308.

Almost surely, 22112210221120 is an apocalyptic number.

2112210221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112210221120 is an abundant number, since it is smaller than the sum of its proper divisors (3012390420184).

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

2112210221120 is a wasteful number, since it uses less digits than its factorization.

2112210221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124540767 (or 124540757 counting only the distinct ones).

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

Adding to 2112210221120 its reverse (211220122112), we get a palindrome (2323430343232).

The spelling of 2112210221120 in words is "two trillion, one hundred twelve billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 8480 16960 124540697 249081394 498162788 622703485 996325576 1245406970 1992651152 2490813940 3985302304 4981627880 6600656941 7970604608 9963255760 13201313882 19926511520 26402627764 33003284705 39853023040 52805255528 66006569410 105610511056 132013138820 211221022112 264026277640 422442044224 528052555280 1056105110560 2112210221120