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121123132312 = 237131723425519
BaseRepresentation
bin111000011001110000…
…0000101001110011000
3102120122021112122101111
41300303200011032120
53441030010213222
6131350533030104
711515354431430
oct1606340051630
9376567478344
10121123132312
114740593a046
121b583a85334
13b563aa70c0
145c105872c0
15323d8aa777
hex1c33805398

121123132312 has 128 divisors (see below), whose sum is σ = 308825395200. Its totient is φ = 43137312768.

The previous prime is 121123132309. The next prime is 121123132313. The reversal of 121123132312 is 213231321121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121123132313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71889 + ... + 497407.

It is an arithmetic number, because the mean of its divisors is an integer number (2412698400).

Almost surely, 2121123132312 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 121123132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154412697600).

121123132312 is an abundant number, since it is smaller than the sum of its proper divisors (187702262888).

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

121123132312 is a wasteful number, since it uses less digits than its factorization.

121123132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425585 (or 425581 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 121123132312 its reverse (213231321121), we get a palindrome (334354453433).

The spelling of 121123132312 in words is "one hundred twenty-one billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 17 23 26 28 34 46 52 56 68 91 92 104 119 136 161 182 184 221 238 299 322 364 391 442 476 598 644 728 782 884 952 1196 1288 1547 1564 1768 2093 2392 2737 3094 3128 4186 5083 5474 6188 8372 10166 10948 12376 16744 20332 21896 35581 40664 71162 142324 284648 425519 851038 1702076 2978633 3404152 5531747 5957266 7233823 9786937 11063494 11914532 14467646 19573874 22126988 23829064 28935292 38722229 39147748 44253976 50636761 57870584 68508559 77444458 78295496 94039699 101273522 127230181 137017118 154888916 166377929 188079398 202547044 254460362 274034236 309777832 332755858 376158796 405094088 508920724 548068472 658277893 665511716 752317592 890611267 1017841448 1164645503 1316555786 1331023432 1781222534 2162913077 2329291006 2633111572 3562445068 4325826154 4658582012 5266223144 7124890136 8651652308 9317164024 15140391539 17303304616 30280783078 60561566156 121123132312