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121442241816 = 233578924327
BaseRepresentation
bin111000100011010000…
…1011000110100011000
3102121110112000002100000
41301012201120310120
53442203203214231
6131442332413000
711526311011020
oct1610641306430
9377415002300
10121442241816
1147559a85805
121b652917160
13b5b4c35bac
145c40ad2a80
15325b8e16e6
hex1c46858d18

121442241816 has 96 divisors (see below), whose sum is σ = 389814647040. Its totient is φ = 34697779488.

The previous prime is 121442241799. The next prime is 121442241829. The reversal of 121442241816 is 618142244121.

121442241816 is a `hidden beast` number, since 1 + 214 + 4 + 22 + 418 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 4448556 + ... + 4475771.

It is an arithmetic number, because the mean of its divisors is an integer number (4060569240).

Almost surely, 2121442241816 is an apocalyptic number.

It is an amenable number.

121442241816 is an abundant number, since it is smaller than the sum of its proper divisors (268372405224).

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

121442241816 is an equidigital number, since it uses as much as digits as its factorization.

121442241816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924355 (or 8924339 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

Adding to 121442241816 its reverse (618142244121), we get a palindrome (739584485937).

The spelling of 121442241816 in words is "one hundred twenty-one billion, four hundred forty-two million, two hundred forty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 8924327 17848654 26772981 35697308 53545962 62470289 71394616 80318943 107091924 124940578 160637886 187410867 214183848 240956829 249881156 321275772 374821734 481913658 499762312 562232601 642551544 722870487 749643468 963827316 1124465202 1445740974 1499286936 1686697803 1927654632 2168611461 2248930404 2891481948 3373395606 4337222922 4497860808 5060093409 5782963896 6746791212 8674445844 10120186818 13493582424 15180280227 17348891688 20240373636 30360560454 40480747272 60721120908 121442241816