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11020222212120 = 233251112043231079
BaseRepresentation
bin1010000001011101100001…
…1011100010100000011000
31110000112010020022111021200
42200113120123202200120
52421023403341241440
635234341543434200
72215120244146062
oct240273033424030
943015106274250
1011020222212120
113569717162210
12129b962155960
1361c282b62244
142a154b182732
151419dbbbac30
hexa05d86e2818

11020222212120 has 192 divisors, whose sum is σ = 39075110380800. Its totient is φ = 2671335624960.

The previous prime is 11020222212079. The next prime is 11020222212151. The reversal of 11020222212120 is 2121222202011.

It is a happy number.

11020222212120 is a `hidden beast` number, since 110 + 2 + 0 + 222 + 212 + 120 = 666.

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 = 11020222212093 and 11020222212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47574741 + ... + 47805819.

It is an arithmetic number, because the mean of its divisors is an integer number (203516199900).

Almost surely, 211020222212120 is an apocalyptic number.

11020222212120 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 11020222212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19537555190400).

11020222212120 is an abundant number, since it is smaller than the sum of its proper divisors (28054888168680).

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

11020222212120 is a wasteful number, since it uses less digits than its factorization.

11020222212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243150 (or 243143 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11020222212120 its reverse (2121222202011), we get a palindrome (13141444414131).

It can be divided in two parts, 110202 and 22212120, that added together give a palindrome (22322322).

The spelling of 11020222212120 in words is "eleven trillion, twenty billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".