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12120220200 = 23352115334649
BaseRepresentation
bin10110100100110101…
…11110001000101000
31011021200022222110110
423102122332020220
5144310234021300
65322402214320
7606231112644
oct132232761050
934250288413
1012120220200
11515a603910
1224230543a0
1311b2037a3a
1482d993c24
154ae0bb550
hex2d26be228

12120220200 has 192 divisors, whose sum is σ = 41762952000. Its totient is φ = 2882713600.

The previous prime is 12120220187. The next prime is 12120220201. The reversal of 12120220200 is 202202121.

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 (12120220201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332476 + ... + 367124.

It is an arithmetic number, because the mean of its divisors is an integer number (217515375).

Almost surely, 212120220200 is an apocalyptic number.

12120220200 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 12120220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20881476000).

12120220200 is an abundant number, since it is smaller than the sum of its proper divisors (29642731800).

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

12120220200 is a wasteful number, since it uses less digits than its factorization.

12120220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34732 (or 34723 counting only the distinct ones).

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

Adding to 12120220200 its reverse (202202121), we get a palindrome (12322422321).

The spelling of 12120220200 in words is "twelve billion, one hundred twenty million, two hundred twenty thousand, two hundred".