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1320011223120 = 24335611116307
BaseRepresentation
bin10011001101010110110…
…011001101000001010000
311200012011211222220201000
4103031112303031001100
5133111340333114440
62450223233342000
7164240052160632
oct23152663150120
94605154886630
101320011223120
114698a4a17317
121939b1107900
1397626c01575
1447c63152a52
152450ab5b730
hex13356ccd050

1320011223120 has 80 divisors (see below), whose sum is σ = 4546705331520. Its totient is φ = 352002992256.

The previous prime is 1320011223101. The next prime is 1320011223163. The reversal of 1320011223120 is 213221100231.

1320011223120 is a `hidden beast` number, since 1 + 320 + 0 + 1 + 1 + 223 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320011223093 and 1320011223102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305555994 + ... + 305560313.

It is an arithmetic number, because the mean of its divisors is an integer number (56833816644).

Almost surely, 21320011223120 is an apocalyptic number.

1320011223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320011223120 is an abundant number, since it is smaller than the sum of its proper divisors (3226694108400).

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

1320011223120 is a wasteful number, since it uses less digits than its factorization.

1320011223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611116329 (or 611116317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1320011223120 its reverse (213221100231), we get a palindrome (1533232323351).

The spelling of 1320011223120 in words is "one trillion, three hundred twenty billion, eleven million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 611116307 1222232614 1833348921 2444465228 3055581535 3666697842 4888930456 5500046763 6111163070 7333395684 9166744605 9777860912 11000093526 12222326140 14666791368 16500140289 18333489210 22000187052 24444652280 27500233815 29333582736 33000280578 36666978420 44000374104 48889304560 55000467630 66000561156 73333956840 82500701445 88000748208 110000935260 132001122312 146667913680 165001402890 220001870520 264002244624 330002805780 440003741040 660005611560 1320011223120