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11111212200 = 23352112314937
BaseRepresentation
bin10100101100100011…
…11010010010101000
31001200100201001200210
422112101322102220
5140223432242300
65034315501120
7542226513444
oct122621722250
931610631623
1011111212200
114791a98200
1221a11577a0
131080c9569a
1477597d824
1545070b050
hex29647a4a8

11111212200 has 288 divisors, whose sum is σ = 39089998080. Its totient is φ = 2606208000.

The previous prime is 11111212199. The next prime is 11111212201. The reversal of 11111212200 is 221211111.

It is an interprime number because it is at equal distance from previous prime (11111212199) and next prime (11111212201).

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

It is not an unprimeable number, because it can be changed into a prime (11111212201) 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, 2248132 + ... + 2253068.

It is an arithmetic number, because the mean of its divisors is an integer number (135729160).

Almost surely, 211111212200 is an apocalyptic number.

11111212200 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 11111212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544999040).

11111212200 is an abundant number, since it is smaller than the sum of its proper divisors (27978785880).

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

11111212200 is a wasteful number, since it uses less digits than its factorization.

11111212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11111212200 its reverse (221211111), we get a palindrome (11332423311).

The spelling of 11111212200 in words is "eleven billion, one hundred eleven million, two hundred twelve thousand, two hundred".