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122212120112 = 241919112231721
BaseRepresentation
bin111000111010001101…
…0001111011000110000
3102200110011122221210222
41301310122033120300
54000242300320422
6132050553512212
711554346611115
oct1616432173060
9380404587728
10122212120112
1147914612765
121b828712668
13b6a85a0594
145cb505a90c
1532a42b8842
hex1c7468f630

122212120112 has 80 divisors (see below), whose sum is σ = 250903941120. Its totient is φ = 57506342400.

The previous prime is 122212120039. The next prime is 122212120159. The reversal of 122212120112 is 211021212221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71011412 + ... + 71013132.

It is an arithmetic number, because the mean of its divisors is an integer number (3136299264).

Almost surely, 2122212120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122212120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125451970560).

122212120112 is an abundant number, since it is smaller than the sum of its proper divisors (128691821008).

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

122212120112 is a wasteful number, since it uses less digits than its factorization.

122212120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122212120112 its reverse (211021212221), we get a palindrome (333233332333).

The spelling of 122212120112 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 764 1223 1528 1721 2446 3056 3442 3629 4892 6884 7258 9784 13768 14516 19568 23237 27536 29032 32699 46474 58064 65398 92948 130796 185896 233593 261592 328711 371792 467186 523184 657422 934372 1314844 1868744 2104783 2629688 3737488 4209566 4438267 5259376 6245509 8419132 8876534 12491018 16838264 17753068 24982036 33676528 35506136 39990877 49964072 71012272 79981754 99928144 159963508 319927016 402013553 639854032 804027106 1608054212 3216108424 6432216848 7638257507 15276515014 30553030028 61106060056 122212120112