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1000122013121 = 72111855513939
BaseRepresentation
bin11101000110110111110…
…10101101010111000001
310112121111020000100000112
432203123322231113001
5112341222213404441
62043241045401105
7132153645563300
oct16433372552701
93477436010015
101000122013121
11356170892190
121419b6a09195
1373407648b5a
1436598728437
151b0373184eb
hexe8dbead5c1

1000122013121 has 12 divisors (see below), whose sum is σ = 1269171534960. Its totient is φ = 779315853960.

The previous prime is 1000122013073. The next prime is 1000122013157. The reversal of 1000122013121 is 1213102210001.

It is not a de Polignac number, because 1000122013121 - 214 = 1000121996737 is a prime.

It is a super-2 number, since 2×10001220131212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000122013096 and 1000122013105.

It is not an unprimeable number, because it can be changed into a prime (1000122013721) 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 11 ways as a sum of consecutive naturals, for example, 927756431 + ... + 927757508.

It is an arithmetic number, because the mean of its divisors is an integer number (105764294580).

Almost surely, 21000122013121 is an apocalyptic number.

1000122013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000122013121 is a deficient number, since it is larger than the sum of its proper divisors (269049521839).

1000122013121 is a wasteful number, since it uses less digits than its factorization.

1000122013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855513964 (or 1855513957 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1000122013121 its reverse (1213102210001), we get a palindrome (2213224223122).

The spelling of 1000122013121 in words is "one trillion, one hundred twenty-two million, thirteen thousand, one hundred twenty-one".

Divisors: 1 7 11 49 77 539 1855513939 12988597573 20410653329 90920183011 142874573303 1000122013121