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12200123220 = 22352337613917
BaseRepresentation
bin10110101110010111…
…10001101101010100
31011111020200110210120
423113023301231110
5144441212420340
65334334551540
7611221223235
oct132713615524
934436613716
1012200123220
1151a071916a
1224459685b0
1311c5762c2c
1483a43308c
154b61014d0
hex2d72f1b54

12200123220 has 192 divisors, whose sum is σ = 37218617856. Its totient is φ = 2977413120.

The previous prime is 12200123213. The next prime is 12200123237. The reversal of 12200123220 is 2232100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12200123220.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3112702 + ... + 3116618.

It is an arithmetic number, because the mean of its divisors is an integer number (193846968).

Almost surely, 212200123220 is an apocalyptic number.

12200123220 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 12200123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609308928).

12200123220 is an abundant number, since it is smaller than the sum of its proper divisors (25018494636).

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

12200123220 is a wasteful number, since it uses less digits than its factorization.

12200123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12200123220 its reverse (2232100221), we get a palindrome (14432223441).

The spelling of 12200123220 in words is "twelve billion, two hundred million, one hundred twenty-three thousand, two hundred twenty".