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1321220331120 = 243541913279901
BaseRepresentation
bin10011001110011110110…
…111100101011001110000
311200022022010010222001210
4103032132313211121300
5133121324401043440
62450543225000120
7164312033342064
oct23163667453160
94608263128053
101321220331120
1146a365484028
1219408a023040
139778a5645a1
1447d39973aa4
152457bd95a80
hex1339ede5670

1321220331120 has 160 divisors (see below), whose sum is σ = 4109067002880. Its totient is φ = 351184204800.

The previous prime is 1321220331107. The next prime is 1321220331133. The reversal of 1321220331120 is 211330221231.

It is an interprime number because it is at equal distance from previous prime (1321220331107) and next prime (1321220331133).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133438170 + ... + 133448070.

It is an arithmetic number, because the mean of its divisors is an integer number (25681668768).

Almost surely, 21321220331120 is an apocalyptic number.

1321220331120 is a gapful number since it is divisible by the number (10) 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 1321220331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054533501440).

1321220331120 is an abundant number, since it is smaller than the sum of its proper divisors (2787846671760).

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

1321220331120 is a wasteful number, since it uses less digits than its factorization.

1321220331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11663 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1321220331120 its reverse (211330221231), we get a palindrome (1532550552351).

The spelling of 1321220331120 in words is "one trillion, three hundred twenty-one billion, two hundred twenty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 419 838 1257 1327 1676 2095 2514 2654 3352 3981 4190 5028 5308 6285 6635 6704 7962 8380 9901 10056 10616 12570 13270 15924 16760 19802 19905 20112 21232 25140 26540 29703 31848 33520 39604 39810 49505 50280 53080 59406 63696 79208 79620 99010 100560 106160 118812 148515 158416 159240 198020 237624 297030 318480 396040 475248 556013 594060 792080 1112026 1188120 1668039 2224052 2376240 2780065 3336078 4148519 4448104 5560130 6672156 8297038 8340195 8896208 11120260 12445557 13138627 13344312 16594076 16680390 20742595 22240520 24891114 26277254 26688624 33188152 33360780 39415881 41485190 44481040 49782228 52554508 62227785 65693135 66376304 66721560 78831762 82970380 99564456 105109016 124455570 131386270 133443120 157663524 165940760 197079405 199128912 210218032 248911140 262772540 315327048 331881520 394158810 497822280 525545080 630654096 788317620 995644560 1051090160 1576635240 3153270480 5505084713 11010169426 16515254139 22020338852 27525423565 33030508278 44040677704 55050847130 66061016556 82576270695 88081355408 110101694260 132122033112 165152541390 220203388520 264244066224 330305082780 440406777040 660610165560 1321220331120