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11212124 = 2271159617
BaseRepresentation
bin101010110001…
…010101011100
3210002122010212
4222301111130
510332241444
61040151552
7164205260
oct52612534
923078125
1011212124
116368920
1239085b8
1324274c1
1416bc0a0
15eb719e
hexab155c

11212124 has 48 divisors (see below), whose sum is σ = 24917760. Its totient is φ = 4287360.

The previous prime is 11212081. The next prime is 11212127. The reversal of 11212124 is 42121211.

It is a happy number.

11212124 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-3 number, since 3×112121243 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11212099 and 11212108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17864 + ... + 18480.

It is an arithmetic number, because the mean of its divisors is an integer number (519120).

Almost surely, 211212124 is an apocalyptic number.

11212124 is a gapful number since it is divisible by the number (14) 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 11212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458880).

11212124 is an abundant number, since it is smaller than the sum of its proper divisors (13705636).

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

11212124 is a wasteful number, since it uses less digits than its factorization.

11212124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 11212124 is about 3348.4509851572. The cubic root of 11212124 is about 223.8184913550.

Adding to 11212124 its reverse (42121211), we get a palindrome (53333335).

The spelling of 11212124 in words is "eleven million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 617 649 826 1234 1298 1652 2468 2596 4319 4543 6787 8638 9086 13574 17276 18172 27148 36403 47509 72806 95018 145612 190036 254821 400433 509642 800866 1019284 1601732 2803031 5606062 11212124