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1222201210112 = 2810759974489
BaseRepresentation
bin10001110010010000110…
…111100111010100000000
311022211201022012102211122
4101302100313213110000
5130011032002210422
62333245501331412
7154205166606101
oct21622067472400
94284638172748
101222201210112
114313727a1923
12178a54866b68
138b33a028a1c
1443224cc43a8
1521bd3d11d42
hex11c90de7500

1222201210112 has 72 divisors (see below), whose sum is σ = 2466572472000. Its totient is φ = 604370604032.

The previous prime is 1222201210103. The next prime is 1222201210171. The reversal of 1222201210112 is 2110121022221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16370564 + ... + 16445052.

It is an arithmetic number, because the mean of its divisors is an integer number (34257951000).

Almost surely, 21222201210112 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 1222201210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233286236000).

1222201210112 is an abundant number, since it is smaller than the sum of its proper divisors (1244371261888).

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

1222201210112 is an equidigital number, since it uses as much as digits as its factorization.

1222201210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75211 (or 75197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1222201210112 its reverse (2110121022221), we get a palindrome (3332322232333).

The spelling of 1222201210112 in words is "one trillion, two hundred twenty-two billion, two hundred one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 599 856 1198 1712 2396 3424 4792 6848 9584 13696 19168 27392 38336 64093 74489 76672 128186 148978 153344 256372 297956 512744 595912 1025488 1191824 2050976 2383648 4101952 4767296 7970323 8203904 9534592 15940646 16407808 19069184 31881292 44618911 63762584 89237822 127525168 178475644 255050336 356951288 510100672 713902576 1020201344 1427805152 2040402688 2855610304 4774223477 5711220608 9548446954 11422441216 19096893908 38193787816 76387575632 152775151264 305550302528 611100605056 1222201210112