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11202122121120 = 2532575477202907
BaseRepresentation
bin1010001100000011001010…
…0000100111111110100000
31110122220122011002021201100
42203000302200213332200
52432013421230333440
635454103414034400
72234220012646350
oct243006240477640
943586564067640
1011202122121120
11362987a998117
12130b068048a00
136334812a7aa8
142aa285420b60
151465d60b5230
hexa3032827fa0

11202122121120 has 288 divisors, whose sum is σ = 43696468303488. Its totient is φ = 2560004941824.

The previous prime is 11202122121103. The next prime is 11202122121133. The reversal of 11202122121120 is 2112122120211.

11202122121120 is a `hidden beast` number, since 1 + 120 + 212 + 212 + 1 + 120 = 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 = 11202122121093 and 11202122121102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55106707 + ... + 55309613.

It is an arithmetic number, because the mean of its divisors is an integer number (151723848276).

Almost surely, 211202122121120 is an apocalyptic number.

11202122121120 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 11202122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21848234151744).

11202122121120 is an abundant number, since it is smaller than the sum of its proper divisors (32494346182368).

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

11202122121120 is a wasteful number, since it uses less digits than its factorization.

11202122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208412 (or 208401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11202122121120 its reverse (2112122120211), we get a palindrome (13314244241331).

Subtracting from 11202122121120 its reverse (2112122120211), we obtain a palindrome (9090000000909).

The spelling of 11202122121120 in words is "eleven trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".