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122121221221212 = 223151727614315091
BaseRepresentation
bin11011110001000110010000…
…000000101010101101011100
3121000101200012212201221222020
4123301012100000222231130
5112001313230113034322
61111421414201220140
734502652464106303
oct3361062000525534
9530350185657866
10122121221221212
1135a0335675a744
1211843ab1a91650
13531ac9bb8cab5
1422229ad11b43a
15e1b9be91705c
hex6f119002ab5c

122121221221212 has 96 divisors (see below), whose sum is σ = 287296941195264. Its totient is φ = 40372618968000.

The previous prime is 122121221221133. The next prime is 122121221221231. The reversal of 122121221221212 is 212122122121221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8092313787 + ... + 8092328877.

It is an arithmetic number, because the mean of its divisors is an integer number (2992676470784).

Almost surely, 2122121221221212 is an apocalyptic number.

122121221221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122121221221212 is an abundant number, since it is smaller than the sum of its proper divisors (165175719974052).

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

122121221221212 is a wasteful number, since it uses less digits than its factorization.

122121221221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22119 (or 22117 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 122121221221212 its reverse (212122122121221), we get a palindrome (334243343342433).

Subtracting 122121221221212 from its reverse (212122122121221), we obtain a palindrome (90000900900009).

The spelling of 122121221221212 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 151 302 453 604 727 906 1454 1812 2181 2908 4362 6143 8724 12286 15091 18429 24572 30182 36858 45273 60364 73716 90546 109777 181092 219554 329331 439108 658662 927593 1317324 1855186 2278741 2782779 3710372 4465961 4557482 5565558 6836223 8931922 9114964 10971157 11131116 13397883 13672446 17863844 21942314 26795766 27344892 32913471 43884628 53591532 65826942 92704013 131653884 185408026 278112039 370816052 556224078 674360111 1112448156 1348720222 1656644707 2023080333 2697440444 3313289414 4046160666 4969934121 6626578828 8092321332 9939868242 13998305963 19879736484 27996611926 41994917889 55993223852 67395817451 83989835778 134791634902 167979671556 202187452353 269583269804 404374904706 808749809412 10176768435101 20353536870202 30530305305303 40707073740404 61060610610606 122121221221212