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121032133322232 = 233112326897412729
BaseRepresentation
bin11011100001001111111101…
…010100000010010111111000
3120212112120002110201100202010
4123201033331110002113320
5111330442302112302412
61105225221112005520
734331166043522326
oct3341177524022770
9525476073640663
10121032133322232
1135623491a60760
12116a8a086908a0
13526c386a44642
1421c5db4da2d16
15ded4cbe4133c
hex6e13fd5025f8

121032133322232 has 128 divisors (see below), whose sum is σ = 344567411136000. Its totient is φ = 35068726640640.

The previous prime is 121032133322207. The next prime is 121032133322237. The reversal of 121032133322232 is 232223331230121.

It is a self number, because there is not a number n which added to its sum of digits gives 121032133322232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121032133322237) 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, 12621244 + ... + 20033972.

It is an arithmetic number, because the mean of its divisors is an integer number (2691932899500).

Almost surely, 2121032133322232 is an apocalyptic number.

121032133322232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121032133322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172283705568000).

121032133322232 is an abundant number, since it is smaller than the sum of its proper divisors (223535277813768).

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

121032133322232 is a wasteful number, since it uses less digits than its factorization.

121032133322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415461 (or 7415457 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 121032133322232 its reverse (232223331230121), we get a palindrome (353255464552353).

The spelling of 121032133322232 in words is "one hundred twenty-one trillion, thirty-two billion, one hundred thirty-three million, three hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 2689 3036 5378 6072 8067 10756 16134 21512 29579 32268 59158 61847 64536 88737 118316 123694 177474 185541 236632 247388 354948 371082 494776 680317 709896 742164 1360634 1484328 2040951 2721268 4081902 5442536 7412729 8163804 14825458 16327608 22238187 29650916 44476374 59301832 81540019 88952748 163080038 170492767 177905496 244620057 326160076 340985534 489240114 511478301 652320152 681971068 978480228 1022956602 1363942136 1875420437 1956960456 2045913204 3750840874 4091826408 5626261311 7501681748 11252522622 15003363496 19932828281 22505045244 39865656562 45010090488 59798484843 79731313124 119596969686 159462626248 219261111091 239193939372 438522222182 458455050463 478387878744 657783333273 877044444364 916910100926 1315566666546 1375365151389 1754088888728 1833820201852 2631133333092 2750730302778 3667640403704 5043005555093 5262266666184 5501460605556 10086011110186 11002921211112 15129016665279 20172022220372 30258033330558 40344044440744 60516066661116 121032133322232