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11212126380 = 22335713832749
BaseRepresentation
bin10100111000100101…
…10111100010101100
31001221101121000221000
422130102313202230
5140430301021010
65052322440300
7544563334050
oct123422674254
931841530830
1011212126380
114833a53554
12220ab03090
131098b69310
1478512bc60
154594e17c0
hex29c4b78ac

11212126380 has 384 divisors, whose sum is σ = 43464960000. Its totient is φ = 2336283648.

The previous prime is 11212126369. The next prime is 11212126403. The reversal of 11212126380 is 8362121211.

11212126380 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 21 + 2 + 638 + 0 = 666.

11212126380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112121263802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 4077246 + ... + 4079994.

It is an arithmetic number, because the mean of its divisors is an integer number (113190000).

Almost surely, 211212126380 is an apocalyptic number.

11212126380 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 11212126380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732480000).

11212126380 is an abundant number, since it is smaller than the sum of its proper divisors (32252833620).

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

11212126380 is a wasteful number, since it uses less digits than its factorization.

11212126380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11212126380 its reverse (8362121211), we get a palindrome (19574247591).

The spelling of 11212126380 in words is "eleven billion, two hundred twelve million, one hundred twenty-six thousand, three hundred eighty".