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121223322131332 = 223153233593133499
BaseRepresentation
bin11011100100000010000001…
…000011011101101110000100
3120220012211120202012011121211
4123210002001003131232010
5111342110330431200312
61105453120403421204
734351044633553201
oct3344020103355604
9526184522164554
10121223322131332
113569758206a803
1211719a85384804
13528440574cb95
1421d1350b7aca8
15e0346ba823a7
hex6e40810ddb84

121223322131332 has 96 divisors (see below), whose sum is σ = 224452964736000. Its totient is φ = 57205665853440.

The previous prime is 121223322131281. The next prime is 121223322131339. The reversal of 121223322131332 is 233131223322121.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 121223322131294 and 121223322131303.

It is not an unprimeable number, because it can be changed into a prime (121223322131339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907979919 + ... + 908113417.

It is an arithmetic number, because the mean of its divisors is an integer number (2338051716000).

Almost surely, 2121223322131332 is an apocalyptic number.

It is an amenable number.

121223322131332 is a deficient number, since it is larger than the sum of its proper divisors (103229642604668).

121223322131332 is a wasteful number, since it uses less digits than its factorization.

121223322131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134413 (or 134411 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

Adding to 121223322131332 its reverse (233131223322121), we get a palindrome (354354545453453).

The spelling of 121223322131332 in words is "one hundred twenty-one trillion, two hundred twenty-three billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 31 53 62 106 124 212 233 466 593 932 1186 1643 2372 3286 6572 7223 12349 14446 18383 24698 28892 31429 36766 49396 62858 73532 125716 133499 138169 266998 276338 382819 533996 552676 765638 974299 1531276 1948598 3897196 4138469 4283239 7075447 7322957 8276938 8566478 14150894 14645914 16553876 17132956 28301788 29291828 31105267 62210534 79164907 124421068 158329814 219338857 227011667 316659628 438677714 454023334 877355428 908046668 964263277 1648579151 1928526554 2454112117 3297158302 3857053108 4195740071 4908224234 6594316604 8391480142 9816448468 16782960284 18445423331 36890846662 51105953681 73781693324 102211907362 130067942201 204423814724 260135884402 520271768804 571808123261 977607436543 1143616246522 1955214873086 2287232493044 3910429746172 30305830532833 60611661065666 121223322131332