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121100121122232 = 23373135933647113
BaseRepresentation
bin11011100010001111010001…
…101100111010010110111000
3120212210001120122202110010210
4123202033101230322112320
5111333101022001402412
61105320343322311120
734336123615345560
oct3342172154722670
9525701518673123
10121100121122232
113564a30033311a
12116ba0216584a0
1352759003328b5
1421c93c4665da0
15e0015aa7e83c
hex6e23d1b3a5b8

121100121122232 has 128 divisors (see below), whose sum is σ = 357172139151360. Its totient is φ = 33482920872960.

The previous prime is 121100121122219. The next prime is 121100121122249. The reversal of 121100121122232 is 232221121001121.

121100121122232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 121100121122199 and 121100121122208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186815508 + ... + 187462620.

It is an arithmetic number, because the mean of its divisors is an integer number (2790407337120).

Almost surely, 2121100121122232 is an apocalyptic number.

121100121122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121100121122232 is an abundant number, since it is smaller than the sum of its proper divisors (236072018029128).

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

121100121122232 is a wasteful number, since it uses less digits than its factorization.

121100121122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683093 (or 683089 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 121100121122232 its reverse (232221121001121), we get a palindrome (353321242123353).

The spelling of 121100121122232 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 35933 71866 107799 143732 215598 251531 287464 431196 503062 647113 754593 862392 1006124 1113923 1294226 1509186 1941339 2012248 2227846 2588452 3018372 3341769 3882678 4455692 4529791 5176904 6036744 6683538 7765356 7797461 8911384 9059582 13367076 13589373 15530712 15594922 18119164 20060503 23392383 26734152 27178746 31189844 36238328 40121006 46784766 54357492 60181509 62379688 80242012 93569532 108714984 120363018 140423521 160484024 187139064 240726036 280847042 421270563 481452072 561694084 842541126 1123388168 1685082252 3370164504 23252711429 46505422858 69758134287 93010845716 139516268574 162768980003 186021691432 279032537148 325537960006 488306940009 558065074296 651075920012 720834054299 976613880018 1302151840024 1441668108598 1953227760036 2162502162897 2883336217196 3906455520072 4325004325794 5045838380093 5766672434392 8650008651588 10091676760186 15137515140279 17300017303176 20183353520372 30275030280558 40366707040744 60550060561116 121100121122232