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2201212122112 = 2104361781023
BaseRepresentation
bin100000000010000010011…
…101110111010000000000
321210102201020221201102001
4200002002131313100000
5242031040300401422
64403120051033344
7315014042215543
oct40020235672000
97712636851361
102201212122112
1177958a9482a3
122b673959b854
1312c75ba30463
147877993885a
153c3d2a84227
hex20082777400

2201212122112 has 88 divisors (see below), whose sum is σ = 4509959832576. Its totient is φ = 1073255006208.

The previous prime is 2201212122059. The next prime is 2201212122133. The reversal of 2201212122112 is 2112212121022.

It is a self number, because there is not a number n which added to its sum of digits gives 2201212122112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27127233 + ... + 27208255.

It is an arithmetic number, because the mean of its divisors is an integer number (51249543552).

Almost surely, 22201212122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254979916288).

2201212122112 is an abundant number, since it is smaller than the sum of its proper divisors (2308747710464).

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

2201212122112 is an equidigital number, since it uses as much as digits as its factorization.

2201212122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81703 (or 81685 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2201212122112 its reverse (2112212121022), we get a palindrome (4313424243134).

The spelling of 2201212122112 in words is "two trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 617 688 1024 1234 1376 2468 2752 4936 5504 9872 11008 19744 22016 26531 39488 44032 53062 78976 81023 106124 157952 162046 212248 315904 324092 424496 631808 648184 848992 1296368 1697984 2592736 3395968 3483989 5185472 6791936 6967978 10370944 13583872 13935956 20741888 27167744 27871912 41483776 49991191 55743824 82967552 99982382 111487648 199964764 222975296 399929528 445950592 799859056 891901184 1599718112 1783802368 2149621213 3199436224 3567604736 4299242426 6398872448 8598484852 12797744896 17196969704 25595489792 34393939408 51190979584 68787878816 137575757632 275151515264 550303030528 1100606061056 2201212122112