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11121122121120 = 25325112591270973
BaseRepresentation
bin1010000111010101011010…
…0010001001010110100000
31110101011120010021221121100
42201311112202021112200
52424202024230333440
635352550054554400
72225321526214014
oct241652642112640
943334503257540
1011121122121120
1135a8494568260
1212b7421368a00
13628942c35acb
142a639d938544
15144444e15230
hexa1d568895a0

11121122121120 has 288 divisors, whose sum is σ = 41417036204544. Its totient is φ = 2694979123200.

The previous prime is 11121122121091. The next prime is 11121122121121. The reversal of 11121122121120 is 2112122112111.

It is a happy number.

11121122121120 is a `hidden beast` number, since 1 + 1 + 1 + 211 + 221 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11121122121093 and 11121122121102.

It is not an unprimeable number, because it can be changed into a prime (11121122121121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40905954 + ... + 41176926.

It is an arithmetic number, because the mean of its divisors is an integer number (143809153488).

Almost surely, 211121122121120 is an apocalyptic number.

11121122121120 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 11121122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708518102272).

11121122121120 is an abundant number, since it is smaller than the sum of its proper divisors (30295914083424).

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

11121122121120 is a wasteful number, since it uses less digits than its factorization.

11121122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273596 (or 273585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11121122121120 its reverse (2112122112111), we get a palindrome (13233244233231).

Subtracting from 11121122121120 its reverse (2112122112111), we obtain a palindrome (9009000009009).

The spelling of 11121122121120 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".