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120020205246304 = 25111738895157329
BaseRepresentation
bin11011010010100001100001…
…101100110001011101100000
3120201221211010110111220012011
4123102201201230301131200
5111212402340020340204
61103132304321242304
734165113400015606
oct3322414154613540
9521854113456164
10120020205246304
1135273312a39880
1211564877a93394
1351c7b1a4a780c
14218d01a701876
15dd2003415304
hex6d2861b31760

120020205246304 has 96 divisors (see below), whose sum is σ = 273003882429600. Its totient is φ = 51332329635840.

The previous prime is 120020205246301. The next prime is 120020205246311. The reversal of 120020205246304 is 403642502020021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020205246301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20693112 + ... + 25850440.

It is an arithmetic number, because the mean of its divisors is an integer number (2843790441975).

Almost surely, 2120020205246304 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 120020205246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136501941214800).

120020205246304 is an abundant number, since it is smaller than the sum of its proper divisors (152983677183296).

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

120020205246304 is a wasteful number, since it uses less digits than its factorization.

120020205246304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161256 (or 5161248 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 120020205246304 its reverse (403642502020021), we get a palindrome (523662707266325).

The spelling of 120020205246304 in words is "one hundred twenty trillion, twenty billion, two hundred five million, two hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 3889 5984 7778 15556 31112 42779 62224 66113 85558 124448 132226 171116 264452 342232 528904 684464 727243 1057808 1368928 1454486 2115616 2908972 5157329 5817944 10314658 11635888 20629316 23271776 41258632 56730619 82517264 87674593 113461238 165034528 175349186 226922476 350698372 453844952 701396744 907689904 964420523 1402793488 1815379808 1928841046 2805586976 3857682092 7715364184 15430728368 20056852481 30861456736 40113704962 80227409924 160454819848 220625377291 320909639696 340966492177 441250754582 641819279392 681932984354 882501509164 1363865968708 1765003018328 2727731937416 3530006036656 3750631413947 5455463874832 7060012073312 7501262827894 10910927749664 15002525655788 30005051311576 60010102623152 120020205246304