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12100222200 = 23352111996493
BaseRepresentation
bin10110100010011101…
…01011110011111000
31011020021200222100210
423101032223303320
5144240124102300
65320405431120
7605566122513
oct132116536370
934207628323
1012100222200
11514a295040
12241840b4a0
1311aab554c1
1482b069d7a
154ac46b050
hex2d13abcf8

12100222200 has 192 divisors, whose sum is σ = 43074921600. Its totient is φ = 2778969600.

The previous prime is 12100222193. The next prime is 12100222207. The reversal of 12100222200 is 222200121.

It is an interprime number because it is at equal distance from previous prime (12100222193) and next prime (12100222207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100222207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77154 + ... + 173646.

It is an arithmetic number, because the mean of its divisors is an integer number (224348550).

Almost surely, 212100222200 is an apocalyptic number.

12100222200 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 12100222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21537460800).

12100222200 is an abundant number, since it is smaller than the sum of its proper divisors (30974699400).

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

12100222200 is a wasteful number, since it uses less digits than its factorization.

12100222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96542 (or 96533 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12100222200 its reverse (222200121), we get a palindrome (12322422321).

The spelling of 12100222200 in words is "twelve billion, one hundred million, two hundred twenty-two thousand, two hundred".