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22112211221200 = 245255280528053
BaseRepresentation
bin1010000011100011001100…
…11111101011101011010000
32220021220111000112000020101
411001301212133223223100
510344241302033034300
6115010113135022144
74441361131123312
oct501614637535320
986256430460211
1022112211221200
117055810852171
1225915b296a954
13c452321a4cc9
1456634584d7b2
152852c9142b6a
hex141c667ebad0

22112211221200 has 30 divisors (see below), whose sum is σ = 53124587459894. Its totient is φ = 8844884488320.

The previous prime is 22112211221197. The next prime is 22112211221201. The reversal of 22112211221200 is 212211221122.

It can be written as a sum of positive squares in 3 ways, for example, as 26008657984 + 22086202563216 = 161272^2 + 4699596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112211221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27640263627 + ... + 27640264426.

Almost surely, 222112211221200 is an apocalyptic number.

22112211221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112211221200 is an abundant number, since it is smaller than the sum of its proper divisors (31012376238694).

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

22112211221200 is a wasteful number, since it uses less digits than its factorization.

22112211221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55280528071 (or 55280528060 counting only the distinct ones).

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

Adding to 22112211221200 its reverse (212211221122), we get a palindrome (22324422442322).

The spelling of 22112211221200 in words is "twenty-two trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 55280528053 110561056106 221122112212 276402640265 442244224424 552805280530 884488448848 1105610561060 1382013201325 2211221122120 2764026402650 4422442244240 5528052805300 11056105610600 22112211221200