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12011201111220 = 22353715135830801
BaseRepresentation
bin1010111011001001001101…
…1000000010010010110100
31120112021000020221111202120
42232302103120002102310
53033242414441024340
641313511500435540
72346531521621313
oct256622330022264
946467006844676
1012011201111220
113910a15994513
12141ba26b48bb0
136918611a024c
142d74b948027a
1515c68b4884d0
hexaec936024b4

12011201111220 has 96 divisors (see below), whose sum is σ = 34769063675136. Its totient is φ = 3095781120000.

The previous prime is 12011201111219. The next prime is 12011201111237. The reversal of 12011201111220 is 2211110211021.

It is a happy number.

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 12011201111220.

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 31 ways as a sum of consecutive naturals, for example, 17580181 + ... + 18250620.

It is an arithmetic number, because the mean of its divisors is an integer number (362177746616).

Almost surely, 212011201111220 is an apocalyptic number.

12011201111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011201111220 is an abundant number, since it is smaller than the sum of its proper divisors (22757862563916).

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

12011201111220 is a wasteful number, since it uses less digits than its factorization.

12011201111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35831001 (or 35830999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011201111220 its reverse (2211110211021), we get a palindrome (14222311322241).

The spelling of 12011201111220 in words is "twelve trillion, eleven billion, two hundred one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 151 185 222 302 370 444 453 555 604 740 755 906 1110 1510 1812 2220 2265 3020 4530 5587 9060 11174 16761 22348 27935 33522 55870 67044 83805 111740 167610 335220 35830801 71661602 107492403 143323204 179154005 214984806 358308010 429969612 537462015 716616020 1074924030 1325739637 2149848060 2651479274 3977218911 5302958548 5410450951 6628698185 7954437822 10820901902 13257396370 15908875644 16231352853 19886094555 21641803804 26514792740 27052254755 32462705706 39772189110 54104509510 64925411412 79544378220 81156764265 108209019020 162313528530 200186685187 324627057060 400373370374 600560055561 800746740748 1000933425935 1201120111122 2001866851870 2402240222244 3002800277805 4003733703740 6005600555610 12011201111220