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1320212101200 = 243522137514823
BaseRepresentation
bin10011001101100010110…
…001011111100001010000
311200012200211222120121220
4103031202301133201100
5133112243244214300
62450255211045040
7164245041463206
oct23154261374120
94605624876556
101320212101200
11469998349a63
12193a48440780
1397659705435
1447c81ac3076
152451d5dada0
hex13362c5f850

1320212101200 has 120 divisors (see below), whose sum is σ = 4231066628928. Its totient is φ = 351891133440.

The previous prime is 1320212101193. The next prime is 1320212101259. The reversal of 1320212101200 is 21012120231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320212101200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2306989 + ... + 2821811.

Almost surely, 21320212101200 is an apocalyptic number.

1320212101200 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 1320212101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115533314464).

1320212101200 is an abundant number, since it is smaller than the sum of its proper divisors (2910854527728).

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

1320212101200 is a wasteful number, since it uses less digits than its factorization.

1320212101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516981 (or 516970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1320212101200 its reverse (21012120231), we get a palindrome (1341224221431).

The spelling of 1320212101200 in words is "one trillion, three hundred twenty billion, two hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2137 4274 6411 8548 10685 12822 17096 21370 25644 32055 34192 42740 51288 53425 64110 85480 102576 106850 128220 160275 170960 213700 256440 320550 427400 512880 514823 641100 854800 1029646 1282200 1544469 2059292 2564400 2574115 3088938 4118584 5148230 6177876 7722345 8237168 10296460 12355752 12870575 15444690 20592920 24711504 25741150 30889380 38611725 41185840 51482300 61778760 77223450 102964600 123557520 154446900 205929200 308893800 617787600 1100176751 2200353502 3300530253 4400707004 5500883755 6601060506 8801414008 11001767510 13202121012 16502651265 17602828016 22003535020 26404242024 27504418775 33005302530 44007070040 52808484048 55008837550 66010605060 82513256325 88014140080 110017675100 132021210120 165026512650 220035350200 264042420240 330053025300 440070700400 660106050600 1320212101200