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22011121121120 = 255937343342767
BaseRepresentation
bin1010000000100110111010…
…00011100011011101100000
32212221020112212122211210122
411000103131003203131200
510341112234001333440
6114451434111215412
74431152046343415
oct500233503433540
985836485584718
1022011121121120
11701695605380a
122575a9bb17568
13c3884189ca41
145614b5b0a10c
1528285e37a7b5
hex1404dd0e3760

22011121121120 has 96 divisors (see below), whose sum is σ = 52073152483968. Its totient is φ = 8792284520448.

The previous prime is 22011121121113. The next prime is 22011121121131. The reversal of 22011121121120 is 2112112111022.

It is a super-2 number, since 2×220111211211202 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 514653977 + ... + 514696743.

It is an arithmetic number, because the mean of its divisors is an integer number (542428671708).

Almost surely, 222011121121120 is an apocalyptic number.

22011121121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011121121120 is an abundant number, since it is smaller than the sum of its proper divisors (30062031362848).

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

22011121121120 is a wasteful number, since it uses less digits than its factorization.

22011121121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47152 (or 47144 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22011121121120 its reverse (2112112111022), we get a palindrome (24123233232142).

The spelling of 22011121121120 in words is "twenty-two trillion, eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 937 1874 3433 3748 4685 6866 7496 9370 13732 14992 17165 18740 27464 29984 34330 37480 42767 54928 68660 74960 85534 109856 137320 149920 171068 213835 274640 342136 427670 549280 684272 855340 1368544 1710680 3216721 3421360 6433442 6842720 12866884 16083605 25733768 32167210 40072679 51467536 64334420 80145358 102935072 128668840 146819111 160290716 200363395 257337680 293638222 320581432 400726790 514675360 587276444 641162864 734095555 801453580 1174552888 1282325728 1468191110 1602907160 2349105776 2936382220 3205814320 4698211552 5872764440 6411628640 11745528880 23491057760 137569507007 275139014014 550278028028 687847535035 1100556056056 1375695070070 2201112112112 2751390140140 4402224224224 5502780280280 11005560560560 22011121121120