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121231031121 = 32229573710253
BaseRepresentation
bin111000011100111101…
…1101011101101010001
3102120220210120110201200
41300321323223231101
53441240120443441
6131405345421413
711521134522264
oct1607173535521
9376823513650
10121231031121
1147460836012
121b5b403a869
13b580254c55
145c20a32cdb
1532480c07b6
hex1c39eebb51

121231031121 has 24 divisors (see below), whose sum is σ = 175923981480. Its totient is φ = 80445885696.

The previous prime is 121231031071. The next prime is 121231031123. The reversal of 121231031121 is 121130132121.

121231031121 is a `hidden beast` number, since 1 + 21 + 2 + 310 + 311 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 971194896 + 120259836225 = 31164^2 + 346785^2 .

It is not a de Polignac number, because 121231031121 - 210 = 121231030097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121231031094 and 121231031103.

It is not an unprimeable number, because it can be changed into a prime (121231031123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11818831 + ... + 11829083.

It is an arithmetic number, because the mean of its divisors is an integer number (7330165895).

Almost surely, 2121231031121 is an apocalyptic number.

It is an amenable number.

121231031121 is a deficient number, since it is larger than the sum of its proper divisors (54692950359).

121231031121 is a wasteful number, since it uses less digits than its factorization.

121231031121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16225 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121231031121 its reverse (121130132121), we get a palindrome (242361163242).

The spelling of 121231031121 in words is "one hundred twenty-one billion, two hundred thirty-one million, thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 229 687 2061 5737 10253 17211 30759 51633 92277 1313773 2347937 3941319 7043811 11823957 21131433 58821461 176464383 529393149 13470114569 40410343707 121231031121