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11220201121200 = 243529350167601
BaseRepresentation
bin1010001101000110100000…
…0110100010010110110000
31110201122022002220122110220
42203101220012202112300
52432312432441334300
635510253401453040
72235430020631401
oct243215006422660
943648262818426
1011220201121200
1136365080284a5
1213126727a1180
136350a29a8586
142ab0bc5339a8
15146ce3375da0
hexa34681a25b0

11220201121200 has 60 divisors (see below), whose sum is σ = 35942044262088. Its totient is φ = 2992053632000.

The previous prime is 11220201121189. The next prime is 11220201121201. The reversal of 11220201121200 is 212110202211.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220201121200.

It is not an unprimeable number, because it can be changed into a prime (11220201121201) by changing a digit.

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, 4675082601 + ... + 4675085000.

Almost surely, 211220201121200 is an apocalyptic number.

11220201121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220201121200 is an abundant number, since it is smaller than the sum of its proper divisors (24721843140888).

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

11220201121200 is a wasteful number, since it uses less digits than its factorization.

11220201121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350167622 (or 9350167611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11220201121200 its reverse (212110202211), we get a palindrome (11432311323411).

The spelling of 11220201121200 in words is "eleven trillion, two hundred twenty billion, two hundred one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9350167601 18700335202 28050502803 37400670404 46750838005 56101005606 74801340808 93501676010 112202011212 140252514015 149602681616 187003352020 224404022424 233754190025 280505028030 374006704040 448808044848 467508380050 561010056060 701262570075 748013408080 935016760100 1122020112120 1402525140150 1870033520200 2244040224240 2805050280300 3740067040400 5610100560600 11220201121200