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121220132333132 = 227171513474860281
BaseRepresentation
bin11011100011111111000010…
…111011010110011001001100
3120220012112100110000122002202
4123203333002323112121030
5111342032312334130012
61105451432055141032
734350602611663040
oct3343770273263114
9526175313018082
10121220132333132
1135696195555148
1211719335074778
135284017943a21
1421d112b28a020
15e033319ebcc2
hex6e3fc2ed664c

121220132333132 has 96 divisors (see below), whose sum is σ = 259146192485376. Its totient is φ = 48431718144000.

The previous prime is 121220132333101. The next prime is 121220132333171. The reversal of 121220132333132 is 231333231022121.

It is a junction number, because it is equal to n+sod(n) for n = 121220132333095 and 121220132333104.

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, 22510832 + ... + 27371112.

It is an arithmetic number, because the mean of its divisors is an integer number (2699439505056).

Almost surely, 2121220132333132 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 121220132333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129573096242688).

121220132333132 is an abundant number, since it is smaller than the sum of its proper divisors (137926060152244).

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

121220132333132 is a wasteful number, since it uses less digits than its factorization.

121220132333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860807 (or 4860805 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 121220132333132 its reverse (231333231022121), we get a palindrome (352553363355253).

The spelling of 121220132333132 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred thirty-two million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 151 238 302 347 476 604 694 1057 1388 2114 2429 2567 4228 4858 5134 5899 9716 10268 11798 17969 23596 35938 41293 52397 71876 82586 104794 165172 209588 366779 733558 890749 1467116 1781498 3562996 4860281 6235243 9720562 12470486 19441124 24940972 34021967 68043934 82624777 136087868 165249554 330499108 578373439 733902431 1156746878 1467804862 1686517507 2313493756 2935609724 3373035014 5137317017 6746070028 10274634034 11805622549 12476341327 20549268068 23611245098 24952682654 28670797619 47222490196 49905365308 57341595238 87334389289 114683190476 174668778578 200695583333 254664143557 349337557156 401391166666 509328287114 802782333332 1018656574228 1782649004899 3565298009798 4329290440469 7130596019596 8658580880938 17317161761876 30305033083283 60610066166566 121220132333132