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121241244330 = 232522310695651
BaseRepresentation
bin111000011101010001…
…0101001001010101010
3102120221111210100121200
41300322202221022222
53441300224304310
6131410352345030
711521320400353
oct1607242511252
9376844710550
10121241244330
1147466581388
121b5b7545176
13b5823bc87b
145c22130d2a
153248e3b9c0
hex1c3a8a92aa

121241244330 has 96 divisors (see below), whose sum is σ = 316993098240. Its totient is φ = 32150217600.

The previous prime is 121241244323. The next prime is 121241244391. The reversal of 121241244330 is 33442142121.

121241244330 is a `hidden beast` number, since 1 + 212 + 4 + 1 + 2 + 443 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121241244294 and 121241244303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21452005 + ... + 21457655.

It is an arithmetic number, because the mean of its divisors is an integer number (3302011440).

Almost surely, 2121241244330 is an apocalyptic number.

121241244330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121241244330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158496549120).

121241244330 is an abundant number, since it is smaller than the sum of its proper divisors (195751853910).

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

121241244330 is a wasteful number, since it uses less digits than its factorization.

121241244330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 121241244330 its reverse (33442142121), we get a palindrome (154683386451).

The spelling of 121241244330 in words is "one hundred twenty-one billion, two hundred forty-one million, two hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1069 1115 1338 2007 2138 2230 3207 3345 4014 5345 5651 6414 6690 9621 10035 10690 11302 16035 16953 19242 20070 28255 32070 33906 48105 50859 56510 84765 96210 101718 169530 238387 254295 476774 508590 715161 1191935 1260173 1430322 2145483 2383870 2520346 3575805 3780519 4290966 6040919 6300865 7151610 7561038 10727415 11341557 12081838 12601730 18122757 18902595 21454830 22683114 30204595 36245514 37805190 54368271 56707785 60409190 90613785 108736542 113415570 181227570 271841355 543682710 1347124937 2694249874 4041374811 6735624685 8082749622 12124124433 13471249370 20206874055 24248248866 40413748110 60620622165 121241244330