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1112200011200 = 26521609432023
BaseRepresentation
bin10000001011110100010…
…010010101110111000000
310221022210010112112212102
4100023310102111313000
5121210241200324300
62210534310045532
7143232232053215
oct20136422256700
93838703475772
101112200011200
11399754a02a83
1215b6756498a8
1380b594cc205
143bb8b8abb0c
151dde6a7e0d5
hex102f4495dc0

1112200011200 has 84 divisors (see below), whose sum is σ = 2738414365680. Its totient is φ = 444602480640.

The previous prime is 1112200011193. The next prime is 1112200011211. The reversal of 1112200011200 is 21100022111.

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 11 ways as a sum of consecutive naturals, for example, 2358389 + ... + 2790411.

It is an arithmetic number, because the mean of its divisors is an integer number (32600171020).

Almost surely, 21112200011200 is an apocalyptic number.

1112200011200 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 1112200011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369207182840).

1112200011200 is an abundant number, since it is smaller than the sum of its proper divisors (1626214354480).

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

1112200011200 is a wasteful number, since it uses less digits than its factorization.

1112200011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433654 (or 433639 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1112200011200 its reverse (21100022111), we get a palindrome (1133300033311).

The spelling of 1112200011200 in words is "one trillion, one hundred twelve billion, two hundred million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1609 3218 6436 8045 12872 16090 25744 32180 40225 51488 64360 80450 102976 128720 160900 257440 321800 432023 514880 643600 864046 1287200 1728092 2160115 2574400 3456184 4320230 6912368 8640460 10800575 13824736 17280920 21601150 27649472 34561840 43202300 69123680 86404600 138247360 172809200 345618400 691236800 695125007 1390250014 2780500028 3475625035 5561000056 6951250070 11122000112 13902500140 17378125175 22244000224 27805000280 34756250350 44488000448 55610000560 69512500700 111220001120 139025001400 222440002240 278050002800 556100005600 1112200011200