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122102110112 = 25192107173571
BaseRepresentation
bin111000110110111011…
…0100101011110100000
3102200011111122212110112
41301231312211132200
54000031120010422
6132032023550452
711551542545213
oct1615566453640
9380144585415
10122102110112
1147868504604
121b7b78bb428
13b68b8637c8
145ca45c177a
1532997d7ee2
hex1c6dda57a0

122102110112 has 144 divisors (see below), whose sum is σ = 258008823072. Its totient is φ = 56866337280.

The previous prime is 122102110099. The next prime is 122102110181. The reversal of 122102110112 is 211011201221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213838787 + ... + 213839357.

It is an arithmetic number, because the mean of its divisors is an integer number (1791727938).

Almost surely, 2122102110112 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 122102110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129004411536).

122102110112 is an abundant number, since it is smaller than the sum of its proper divisors (135906712960).

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

122102110112 is a wasteful number, since it uses less digits than its factorization.

122102110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122102110112 its reverse (211011201221), we get a palindrome (333113311333).

The spelling of 122102110112 in words is "one hundred twenty-two billion, one hundred two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 173 214 304 346 361 428 571 608 692 722 856 1142 1384 1444 1712 2033 2284 2768 2888 3287 3424 4066 4568 5536 5776 6574 8132 9136 10849 11552 13148 16264 18272 18511 21698 26296 32528 37022 38627 43396 52592 61097 62453 65056 74044 77254 86792 98783 105184 122194 124906 148088 154508 173584 197566 206131 244388 249812 296176 309016 347168 351709 395132 412262 488776 499624 592352 618032 703418 790264 824524 977552 999248 1160843 1236064 1406836 1580528 1649048 1876877 1955104 1998496 2321686 2813672 3161056 3298096 3753754 4643372 5627344 6596192 6682471 7507508 9286744 10569781 11254688 13364942 15015016 18573488 21139562 22056017 26729884 30030032 35660663 37146976 42279124 44112034 53459768 60060064 71321326 84558248 88224068 106919536 142642652 169116496 176448136 200825839 213839072 285285304 338232992 352896272 401651678 570570608 705792544 803303356 1141141216 1606606712 3213213424 3815690941 6426426848 7631381882 15262763764 30525527528 61051055056 122102110112