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1200201022112 = 25195361610583
BaseRepresentation
bin10001011101110001100…
…011100011101010100000
311020201221001222002110212
4101131301203203222200
5124131002430201422
62315210441113252
7152466046235231
oct21356143435240
94221831862425
101200201022112
11423003207a74
12174734a88828
138924213c2c1
14421390d5088
15213476979e2
hex117718e3aa0

1200201022112 has 96 divisors (see below), whose sum is σ = 2575736392320. Its totient is φ = 548644561920.

The previous prime is 1200201022109. The next prime is 1200201022117. The reversal of 1200201022112 is 2112201020021.

It is not an unprimeable number, because it can be changed into a prime (1200201022117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1660373 + ... + 2270955.

It is an arithmetic number, because the mean of its divisors is an integer number (26830587420).

Almost surely, 21200201022112 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 1200201022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287868196160).

1200201022112 is an abundant number, since it is smaller than the sum of its proper divisors (1375535370208).

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

1200201022112 is a wasteful number, since it uses less digits than its factorization.

1200201022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610726 (or 610718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1200201022112 its reverse (2112201020021), we get a palindrome (3312402042133).

The spelling of 1200201022112 in words is "one trillion, two hundred billion, two hundred one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 53 61 76 106 122 152 212 244 304 424 488 608 848 976 1007 1159 1696 1952 2014 2318 3233 4028 4636 6466 8056 9272 12932 16112 18544 25864 32224 37088 51728 61427 103456 122854 245708 491416 610583 982832 1221166 1965664 2442332 4884664 9769328 11601077 19538656 23202154 32360899 37245563 46404308 64721798 74491126 92808616 129443596 148982252 185617232 258887192 297964504 371234464 517774384 595929008 614857081 707665697 1035548768 1191858016 1229714162 1415331394 1974014839 2459428324 2830662788 3948029678 4918856648 5661325576 7896059356 9837713296 11322651152 15792118712 19675426592 22645302304 31584237424 37506281941 63168474848 75012563882 150025127764 300050255528 600100511056 1200201022112