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12200123221 = 11134111711777
BaseRepresentation
bin10110101110010111…
…10001101101010101
31011111020200110210121
423113023301231111
5144441212420341
65334334551541
7611221223236
oct132713615525
934436613717
1012200123221
1151a0719170
1224459685b1
1311c5762c30
1483a43308d
154b61014d1
hex2d72f1b55

12200123221 has 32 divisors (see below), whose sum is σ = 14703405696. Its totient is φ = 9974016000.

The previous prime is 12200123213. The next prime is 12200123237. The reversal of 12200123221 is 12232100221.

It is a happy number.

It is not a de Polignac number, because 12200123221 - 23 = 12200123213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200123195 and 12200123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200123251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6864685 + ... + 6866461.

It is an arithmetic number, because the mean of its divisors is an integer number (459481428).

Almost surely, 212200123221 is an apocalyptic number.

12200123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200123221 is a deficient number, since it is larger than the sum of its proper divisors (2503282475).

12200123221 is a wasteful number, since it uses less digits than its factorization.

12200123221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12200123221 its reverse (12232100221), we get a palindrome (24432223442).

The spelling of 12200123221 in words is "twelve billion, two hundred million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 11 13 41 143 451 533 1171 1777 5863 12881 15223 19547 23101 48011 72857 167453 254111 528121 624143 801427 947141 2080867 6865573 10418551 22889537 27051271 85315547 297563981 938471017 1109102111 12200123221