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22021120002120 = 2335787346967217
BaseRepresentation
bin1010000000111001100010…
…00010010000100001001000
32212222012100201022121221120
411000130301002100201020
510341243223210031440
6114500210214035240
74431654611415111
oct500346102204110
985865321277846
1022021120002120
117020117174028
122577a10648b20
13c39776287a85
14561b83a5b208
15282c470b6dd0
hex140731090848

22021120002120 has 128 divisors (see below), whose sum is σ = 66167355772800. Its totient is φ = 5863059173376.

The previous prime is 22021120002097. The next prime is 22021120002121. The reversal of 22021120002120 is 2120002112022.

22021120002120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220211200021202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22021120002120.

It is not an unprimeable number, because it can be changed into a prime (22021120002121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 327578752 + ... + 327645968.

It is an arithmetic number, because the mean of its divisors is an integer number (516932466975).

Almost surely, 222021120002120 is an apocalyptic number.

22021120002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021120002120 is an abundant number, since it is smaller than the sum of its proper divisors (44146235770680).

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

22021120002120 is a wasteful number, since it uses less digits than its factorization.

22021120002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71487 (or 71483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22021120002120 its reverse (2120002112022), we get a palindrome (24141122114142).

The spelling of 22021120002120 in words is "twenty-two trillion, twenty-one billion, one hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 787 1574 2361 3148 3469 3935 4722 6296 6938 7870 9444 10407 11805 13876 15740 17345 18888 20814 23610 27752 31480 34690 41628 47220 52035 67217 69380 83256 94440 104070 134434 138760 201651 208140 268868 336085 403302 416280 537736 672170 806604 1008255 1344340 1613208 2016510 2688680 2730103 4033020 5460206 8066040 8190309 10920412 13650515 16380618 21840824 27301030 32761236 40951545 52899779 54602060 65522472 81903090 105799558 109204120 158699337 163806180 211599116 233175773 264498895 317398674 327612360 423198232 466351546 528997790 634797348 699527319 793496685 932703092 1057995580 1165878865 1269594696 1399054638 1586993370 1865406184 2115991160 2331757730 2798109276 3173986740 3497636595 4663515460 5596218552 6347973480 6995273190 9327030920 13990546380 27981092760 183509333351 367018666702 550528000053 734037333404 917546666755 1101056000106 1468074666808 1835093333510 2202112000212 2752640000265 3670186667020 4404224000424 5505280000530 7340373334040 11010560001060 22021120002120