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11011212000120 = 2335169954008299
BaseRepresentation
bin1010000000111011111101…
…1000010011101101111000
31102222122212022000022001010
42200032333120103231320
52420401430233000440
635230251515353520
72214351045463323
oct240167730235570
942878768008033
1011011212000120
113565913126612
12129a0687528a0
1361b478247a57
142a0d3466d7ba
15141660b73580
hexa03bf613b78

11011212000120 has 64 divisors (see below), whose sum is σ = 33053079600000. Its totient is φ = 2934594880128.

The previous prime is 11011212000071. The next prime is 11011212000127. The reversal of 11011212000120 is 2100021211011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11011212000096 and 11011212000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011212000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26800270 + ... + 27208029.

It is an arithmetic number, because the mean of its divisors is an integer number (516454368750).

Almost surely, 211011212000120 is an apocalyptic number.

11011212000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011212000120 is an abundant number, since it is smaller than the sum of its proper divisors (22041867599880).

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

11011212000120 is a wasteful number, since it uses less digits than its factorization.

11011212000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54010012 (or 54010008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11011212000120 its reverse (2100021211011), we get a palindrome (13111233211131).

The spelling of 11011212000120 in words is "eleven trillion, eleven billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1699 3398 5097 6796 8495 10194 13592 16990 20388 25485 33980 40776 50970 67960 101940 203880 54008299 108016598 162024897 216033196 270041495 324049794 432066392 540082990 648099588 810124485 1080165980 1296199176 1620248970 2160331960 3240497940 6480995880 91760100001 183520200002 275280300003 367040400004 458800500005 550560600006 734080800008 917601000010 1101121200012 1376401500015 1835202000020 2202242400024 2752803000030 3670404000040 5505606000060 11011212000120