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21222201121002 = 2337881152341843
BaseRepresentation
bin1001101001101001011011…
…10000100101100011101010
32210010211012200111102021000
410310310231300211203222
510240201031441333002
6113045202233455430
74320152633110140
oct464645560454352
983124180442230
1021222201121002
1168423152a8a12
122469008271576
13bac3252ab01b
1453523511b590
1526c088b7b61c
hex134d2dc258ea

21222201121002 has 128 divisors (see below), whose sum is σ = 53995551160320. Its totient is φ = 6052482120960.

The previous prime is 21222201120941. The next prime is 21222201121019. The reversal of 21222201121002 is 20012110222212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507165493 + ... + 507207335.

It is an arithmetic number, because the mean of its divisors is an integer number (421840243440).

Almost surely, 221222201121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222201121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26997775580160).

21222201121002 is an abundant number, since it is smaller than the sum of its proper divisors (32773350039318).

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

21222201121002 is a wasteful number, since it uses less digits than its factorization.

21222201121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44265 (or 44259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222201121002 its reverse (20012110222212), we get a palindrome (41234311343214).

The spelling of 21222201121002 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred one million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 881 1523 1762 2643 3046 4569 5286 6167 7929 9138 10661 12334 13707 15858 18501 21322 23787 27414 31983 37002 41121 41843 47574 55503 63966 82242 83686 95949 111006 125529 166509 191898 251058 287847 292901 333018 376587 575694 585802 753174 878703 1129761 1341763 1757406 2259522 2636109 2683526 4025289 5272218 7908327 8050578 9392341 12075867 15816654 18784682 24151734 28177023 36227601 36863683 56354046 63726889 72455202 73727366 84531069 110591049 127453778 169062138 191180667 221182098 253593207 258045781 331773147 382361334 446088223 507186414 516091562 573542001 663546294 774137343 892176446 995319441 1147084002 1338264669 1548274686 1720626003 1990638882 2322412029 2676529338 3441252006 4014794007 4644824058 6967236087 8029588014 12044382021 13934472174 24088764042 56143389209 112286778418 168430167627 336860335254 393003724463 505290502881 786007448926 1010581005762 1179011173389 1515871508643 2358022346778 3031743017286 3537033520167 7074067040334 10611100560501 21222201121002