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1012122131121 = 32659170649491
BaseRepresentation
bin11101011101001110010…
…11100001101010110001
310120202110112100111020100
432232213023201222301
5113040311231143441
62052543521503013
7133060221111123
oct16564713415261
93522415314210
101012122131121
11360269614482
121441a57a1a69
137459a8222aa
1436db6377213
151b4daaadcb6
hexeba72e1ab1

1012122131121 has 12 divisors (see below), whose sum is σ = 1464172641360. Its totient is φ = 673724186520.

The previous prime is 1012122131077. The next prime is 1012122131149. The reversal of 1012122131121 is 1211312212101.

It is a happy number.

1012122131121 is a `hidden beast` number, since 10 + 121 + 221 + 311 + 2 + 1 = 666.

It is not a de Polignac number, because 1012122131121 - 213 = 1012122122929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012122131094 and 1012122131103.

It is not an unprimeable number, because it can be changed into a prime (1012122131171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85318815 + ... + 85330676.

It is an arithmetic number, because the mean of its divisors is an integer number (122014386780).

Almost surely, 21012122131121 is an apocalyptic number.

It is an amenable number.

1012122131121 is a deficient number, since it is larger than the sum of its proper divisors (452050510239).

1012122131121 is a wasteful number, since it uses less digits than its factorization.

1012122131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170650156 (or 170650153 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1012122131121 its reverse (1211312212101), we get a palindrome (2223434343222).

The spelling of 1012122131121 in words is "one trillion, twelve billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 659 1977 5931 170649491 511948473 1535845419 112458014569 337374043707 1012122131121