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120012202222011 = 33112944893310379
BaseRepresentation
bin11011010010011010000100…
…101011101010000110111011
3120201221001110201102010202000
4123102122010223222012323
5111212234442232101021
61103124502232512043
734164411151311351
oct3322320453520673
9521831421363660
10120012202222011
113526a986496210
121156320384b623
1351c7143445c98
14218c89b88b7d1
15dd1bd5a1db26
hex6d2684aea1bb

120012202222011 has 64 divisors (see below), whose sum is σ = 200652475968000. Its totient is φ = 70224785447040.

The previous prime is 120012202221971. The next prime is 120012202222037. The reversal of 120012202222011 is 110222202210021.

It is a happy number.

120012202222011 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 220 + 222 + 201 + 1 = 666.

It is not a de Polignac number, because 120012202222011 - 223 = 120012193833403 is a prime.

It is a super-3 number, since 3×1200122022220113 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120012202222091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386508220 + ... + 386818598.

It is an arithmetic number, because the mean of its divisors is an integer number (3135194937000).

Almost surely, 2120012202222011 is an apocalyptic number.

120012202222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120012202222011 is a deficient number, since it is larger than the sum of its proper divisors (80640273745989).

120012202222011 is a wasteful number, since it uses less digits than its factorization.

120012202222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355321 (or 355315 counting only the distinct ones).

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

Adding to 120012202222011 its reverse (110222202210021), we get a palindrome (230234404432032).

The spelling of 120012202222011 in words is "one hundred twenty trillion, twelve billion, two hundred two million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 8613 44893 134679 310379 404037 493823 931137 1212111 1301897 1481469 2793411 3414169 3905691 4444407 8380233 9000991 10242507 11717073 13333221 14320867 27002973 30727521 35151219 42962601 81008919 92182563 99010901 128887803 243026757 297032703 386663409 891098109 2673294327 13933844447 41801533341 125404600023 153272288917 376213800069 404081488963 459816866751 1212244466889 1379450600253 3636733400667 4138351800759 4444896378593 10910200202001 13334689135779 40004067407337 120012202222011