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11122120200000 = 26355109170063
BaseRepresentation
bin1010000111011001001000…
…0001100000111101000000
31110101021010200100121102210
42201312102001200331000
52424211100232400000
635353233111142120
72225355335563665
oct241662201407500
943337120317383
1011122120200000
1135a8956999737
1212b765b674940
13628a7194c724
142a6456305a6c
151444a2867350
hexa1d92060f40

11122120200000 has 336 divisors, whose sum is σ = 37119406705920. Its totient is φ = 2938671360000.

The previous prime is 11122120199999. The next prime is 11122120200001. The reversal of 11122120200000 is 202122111.

It is an interprime number because it is at equal distance from previous prime (11122120199999) and next prime (11122120200001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122120200001) 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, 65314969 + ... + 65485031.

It is an arithmetic number, because the mean of its divisors is an integer number (110474424720).

Almost surely, 211122120200000 is an apocalyptic number.

11122120200000 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 11122120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18559703352960).

11122120200000 is an abundant number, since it is smaller than the sum of its proper divisors (25997286505920).

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

11122120200000 is an equidigital number, since it uses as much as digits as its factorization.

11122120200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170212 (or 170182 counting only the distinct ones).

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

Adding to 11122120200000 its reverse (202122111), we get a palindrome (11122322322111).

The spelling of 11122120200000 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty million, two hundred thousand".