Search a number
-
+
121210331321232 = 243579394626541
BaseRepresentation
bin11011100011110101111010…
…101111011101001110010000
3120220011121001101200122100000
4123203311322233131032100
5111341402224304234412
61105443131341330000
734350105001522236
oct3343657257351620
9526147041618300
10121210331321232
11356920160a190a
121171745a866900
1352831152480ba
1421d087b724956
15e02e5b3484dc
hex6e3d7abdd390

121210331321232 has 120 divisors (see below), whose sum is σ = 356237271994240. Its totient is φ = 39892007675520.

The previous prime is 121210331321137. The next prime is 121210331321257. The reversal of 121210331321232 is 232123133012121.

121210331321232 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 0 + 331 + 321 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121210331321196 and 121210331321205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197006119 + ... + 197620422.

Almost surely, 2121210331321232 is an apocalyptic number.

121210331321232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121210331321232 is an abundant number, since it is smaller than the sum of its proper divisors (235026940673008).

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

121210331321232 is an equidigital number, since it uses as much as digits as its factorization.

121210331321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394626643 (or 394626625 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 121210331321232 its reverse (232123133012121), we get a palindrome (353333464333353).

The spelling of 121210331321232 in words is "one hundred twenty-one trillion, two hundred ten billion, three hundred thirty-one million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 243 316 324 432 474 486 632 648 711 948 972 1264 1296 1422 1896 1944 2133 2844 3792 3888 4266 5688 6399 8532 11376 12798 17064 19197 25596 34128 38394 51192 76788 102384 153576 307152 394626541 789253082 1183879623 1578506164 2367759246 3157012328 3551638869 4735518492 6314024656 7103277738 9471036984 10654916607 14206555476 18942073968 21309833214 28413110952 31175496739 31964749821 42619666428 56826221904 62350993478 63929499642 85239332856 93526490217 95894249463 124701986956 127858999284 170478665712 187052980434 191788498926 249403973912 255717998568 280579470651 374105960868 383576997852 498807947824 511435997136 561158941302 748211921736 767153995704 841738411953 1122317882604 1496423843472 1534307991408 1683476823906 2244635765208 2525215235859 3366953647812 4489271530416 5050430471718 6733907295624 7575645707577 10100860943436 13467814591248 15151291415154 20201721886872 30302582830308 40403443773744 60605165660616 121210331321232