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1320201311200 = 25524744379259
BaseRepresentation
bin10011001101100010001…
…000010101001111100000
311200012200002200101112021
4103031202020111033200
5133112233013424300
62450254143511224
7164244550663402
oct23154210251740
94605602611467
101320201311200
1146999224a302
12193a448b8514
13976573c8115
1447c804b4b72
152451c6a8d1a
hex133622153e0

1320201311200 has 144 divisors (see below), whose sum is σ = 3298986351360. Its totient is φ = 515671569920.

The previous prime is 1320201311197. The next prime is 1320201311213. The reversal of 1320201311200 is 21131020231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16617171 + ... + 16696429.

It is an arithmetic number, because the mean of its divisors is an integer number (22909627440).

Almost surely, 21320201311200 is an apocalyptic number.

1320201311200 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 1320201311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649493175680).

1320201311200 is an abundant number, since it is smaller than the sum of its proper divisors (1978785040160).

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

1320201311200 is a wasteful number, since it uses less digits than its factorization.

1320201311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79769 (or 79756 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1320201311200 its reverse (21131020231), we get a palindrome (1341332331431).

The spelling of 1320201311200 in words is "one trillion, three hundred twenty billion, two hundred one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 443 470 752 800 886 940 1175 1504 1772 1880 2215 2350 3544 3760 4430 4700 7088 7520 8860 9400 11075 14176 17720 18800 20821 22150 35440 37600 41642 44300 70880 79259 83284 88600 104105 158518 166568 177200 208210 317036 333136 354400 396295 416420 520525 634072 666272 792590 832840 1041050 1268144 1585180 1665680 1981475 2082100 2536288 3170360 3331360 3725173 3962950 4164200 6340720 7450346 7925900 8328400 12681440 14900692 15851800 16656800 18625865 29801384 31703600 35111737 37251730 59602768 63407200 70223474 74503460 93129325 119205536 140446948 149006920 175558685 186258650 280893896 298013840 351117370 372517300 561787792 596027680 702234740 745034600 877793425 1123575584 1404469480 1490069200 1650251639 1755586850 2808938960 2980138400 3300503278 3511173700 5617877920 6601006556 7022347400 8251258195 13202013112 14044694800 16502516390 26404026224 28089389600 33005032780 41256290975 52808052448 66010065560 82512581950 132020131120 165025163900 264040262240 330050327800 660100655600 1320201311200