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121022211202112 = 26114113381313343
BaseRepresentation
bin11011100001000110101101…
…111010001001110001000000
3120212111121110222111102201202
4123201012231322021301000
5111330311442031431422
61105220500350320332
734330365133063403
oct3341065572116100
9525447428442652
10121022211202112
113561a2601a9a90
12116a6ab97b90a8
13526b46522454c
1421c5713313d3a
15ded0ead18b92
hex6e11ade89c40

121022211202112 has 112 divisors (see below), whose sum is σ = 268396387467264. Its totient is φ = 53664204288000.

The previous prime is 121022211202097. The next prime is 121022211202117. The reversal of 121022211202112 is 211202112220121.

It is a super-2 number, since 2×1210222112021122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121022211202117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386072513 + ... + 386385855.

It is an arithmetic number, because the mean of its divisors is an integer number (2396396316672).

Almost surely, 2121022211202112 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 121022211202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134198193733632).

121022211202112 is an abundant number, since it is smaller than the sum of its proper divisors (147374176265152).

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

121022211202112 is a wasteful number, since it uses less digits than its factorization.

121022211202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326788 (or 326778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121022211202112 its reverse (211202112220121), we get a palindrome (332224323422233).

The spelling of 121022211202112 in words is "one hundred twenty-one trillion, twenty-two billion, two hundred eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1804 2624 3608 7216 13381 14432 26762 28864 53524 107048 147191 214096 294382 313343 428192 548621 588764 626686 856384 1097242 1177528 1253372 2194484 2355056 2506744 3446773 4388968 4710112 5013488 6034831 6893546 8777936 9420224 10026976 12069662 12847063 13787092 17555872 20053952 24139324 25694126 27574184 35111744 48278648 51388252 55148368 96557296 102776504 110296736 141317693 193114592 205553008 220593472 282635386 386229184 411106016 565270772 822212032 1130541544 2261083088 4192842683 4522166176 8385685366 9044332352 16771370732 33542741464 46121269513 67085482928 92242539026 134170965856 171906550003 184485078052 268341931712 343813100006 368970156104 687626200012 737940312208 1375252400024 1475880624416 1890972050033 2750504800048 2951761248832 3781944100066 5501009600096 7563888200132 11002019200192 15127776400264 30255552800528 60511105601056 121022211202112