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11121222121020 = 223251121300939251
BaseRepresentation
bin1010000111010101110001…
…1111100111011000111100
31110101011211002110110200100
42201311130133213120330
52424202230330333040
635353004030201100
72225324152205634
oct241653437473074
943334732413610
1011121222121020
1135a8535a59700
1212b744a953190
1362895a87954b
142a63acd296c4
1514444dab9b30
hexa1d5c7e763c

11121222121020 has 216 divisors, whose sum is σ = 37083726585360. Its totient is φ = 2695777920000.

The previous prime is 11121222120997. The next prime is 11121222121021. The reversal of 11121222121020 is 2012122212111.

11121222121020 is a `hidden beast` number, since 1 + 1 + 1 + 212 + 221 + 210 + 20 = 666.

It is a super-3 number, since 3×111212221210203 (a number of 40 digits) contains 333 as substring.

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 = 11121222120984 and 11121222121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121222121021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283316395 + ... + 283355645.

Almost surely, 211121222121020 is an apocalyptic number.

11121222121020 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 11121222121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541863292680).

11121222121020 is an abundant number, since it is smaller than the sum of its proper divisors (25962504464340).

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

11121222121020 is a wasteful number, since it uses less digits than its factorization.

11121222121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52297 (or 52281 counting only the distinct ones).

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

Adding to 11121222121020 its reverse (2012122212111), we get a palindrome (13133344333131).

The spelling of 11121222121020 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty".