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12011120000 = 27541113649
BaseRepresentation
bin10110010111110101…
…10010010110000000
31011000002001010010022
423023322302112000
5144044321320000
65303503553012
7603434556365
oct131372622600
934002033108
1012011120000
115103a67260
1223b25bb768
1311955590c9
1481d2b446c
154a471a585
hex2cbeb2580

12011120000 has 160 divisors (see below), whose sum is σ = 32621589000. Its totient is φ = 4367360000.

The previous prime is 12011119997. The next prime is 12011120029. The reversal of 12011120000 is 2111021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12011120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 873176 + ... + 886824.

Almost surely, 212011120000 is an apocalyptic number.

12011120000 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 12011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310794500).

12011120000 is an abundant number, since it is smaller than the sum of its proper divisors (20610469000).

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

12011120000 is an equidigital number, since it uses as much as digits as its factorization.

12011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694 (or 13667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12011120000 its reverse (2111021), we get a palindrome (12013231021).

The spelling of 12011120000 in words is "twelve billion, eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13649 13750 16000 17600 20000 22000 27298 27500 35200 40000 44000 54596 55000 68245 80000 88000 109192 110000 136490 150139 176000 218384 220000 272980 300278 341225 436768 440000 545960 600556 682450 750695 873536 880000 1091920 1201112 1364900 1501390 1706125 1747072 2183840 2402224 2729800 3002780 3412250 3753475 4367680 4804448 5459600 6005560 6824500 7506950 8530625 8735360 9608896 10919200 12011120 13649000 15013900 17061250 18767375 19217792 21838400 24022240 27298000 30027800 34122500 37534750 43676800 48044480 54596000 60055600 68245000 75069500 93836875 96088960 109192000 120111200 136490000 150139000 187673750 218384000 240222400 272980000 300278000 375347500 480444800 545960000 600556000 750695000 1091920000 1201112000 1501390000 2402224000 3002780000 6005560000 12011120000