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11200212120 = 2335891048709
BaseRepresentation
bin10100110111001010…
…11010110010011000
31001220120011201122010
422123211122302120
5140414223241440
65051215225520
7544360142436
oct123345326230
931816151563
1011200212120
114828256159
122206b182a0
131096557366
14783709d56
1545843b580
hex29b95ac98

11200212120 has 64 divisors (see below), whose sum is σ = 33978204000. Its totient is φ = 2953161728.

The previous prime is 11200212113. The next prime is 11200212151. The reversal of 11200212120 is 2121200211.

11200212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11200212096 and 11200212105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513675 + ... + 535034.

Almost surely, 211200212120 is an apocalyptic number.

11200212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200212120 is an abundant number, since it is smaller than the sum of its proper divisors (22777991880).

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

11200212120 is a wasteful number, since it uses less digits than its factorization.

11200212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048812 (or 1048808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200212120 its reverse (2121200211), we get a palindrome (13321412331).

The spelling of 11200212120 in words is "eleven billion, two hundred million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 1048709 2097418 3146127 4194836 5243545 6292254 8389672 10487090 12584508 15730635 20974180 25169016 31461270 41948360 62922540 93335101 125845080 186670202 280005303 373340404 466675505 560010606 746680808 933351010 1120021212 1400026515 1866702020 2240042424 2800053030 3733404040 5600106060 11200212120