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121121220121 = 1119743779983
BaseRepresentation
bin111000011001101100…
…0110010011000011001
3102120122010221111100121
41300303120302120121
53441024013020441
6131350424033241
711515332245506
oct1606330623031
9376563844317
10121121220121
1147404853420
121b583302821
13b563587925
145c1020a4ad
15323d62ddd1
hex1c33632619

121121220121 has 16 divisors (see below), whose sum is σ = 139273943040. Its totient is φ = 104174395920.

The previous prime is 121121220109. The next prime is 121121220127. The reversal of 121121220121 is 121022121121.

It is a cyclic number.

It is not a de Polignac number, because 121121220121 - 27 = 121121219993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121121220095 and 121121220104.

It is not an unprimeable number, because it can be changed into a prime (121121220127) 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 15 ways as a sum of consecutive naturals, for example, 234705 + ... + 545278.

It is an arithmetic number, because the mean of its divisors is an integer number (8704621440).

Almost surely, 2121121220121 is an apocalyptic number.

121121220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121121220121 is a deficient number, since it is larger than the sum of its proper divisors (18152722919).

121121220121 is a wasteful number, since it uses less digits than its factorization.

121121220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780756.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121121220121 its reverse (121022121121), we get a palindrome (242143341242).

The spelling of 121121220121 in words is "one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 11 19 209 743 8173 14117 155287 779983 8579813 14819677 163016447 579527369 6374801059 11011020011 121121220121