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11121100012120 = 235743923679403
BaseRepresentation
bin1010000111010101010100…
…1101110011101001011000
31110101011111120200200202111
42201311111031303221120
52424202003100341440
635352543545042104
72225321140252210
oct241652515635130
943334446620674
1011121100012120
1135a848303745a
1212b7415a86334
1362893b494767
142a639aa21240
15144442ee94ea
hexa1d55373a58

11121100012120 has 64 divisors (see below), whose sum is σ = 29262163518720. Its totient is φ = 3724275348864.

The previous prime is 11121100012103. The next prime is 11121100012129. The reversal of 11121100012120 is 2121000112111.

It is a happy number.

11121100012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11121100012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121100012129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461827662 + ... + 461851741.

It is an arithmetic number, because the mean of its divisors is an integer number (457221304980).

Almost surely, 211121100012120 is an apocalyptic number.

11121100012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121100012120 is an abundant number, since it is smaller than the sum of its proper divisors (18141063506600).

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

11121100012120 is a wasteful number, since it uses less digits than its factorization.

11121100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923679464 (or 923679460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11121100012120 its reverse (2121000112111), we get a palindrome (13242100124231).

Subtracting from 11121100012120 its reverse (2121000112111), we obtain a palindrome (9000099900009).

The spelling of 11121100012120 in words is "eleven trillion, one hundred twenty-one billion, one hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 12040 923679403 1847358806 3694717612 4618397015 6465755821 7389435224 9236794030 12931511642 18473588060 25863023284 32328779105 36947176120 39718214329 51726046568 64657558210 79436428658 129315116420 158872857316 198591071645 258630232840 278027500303 317745714632 397182143290 556055000606 794364286580 1112110001212 1390137501515 1588728573160 2224220002424 2780275003030 5560550006060 11121100012120