Search a number
-
+
1212112112121 = 328310116065743
BaseRepresentation
bin10001101000110111100…
…000110000100111111001
311021212200011210011020200
4101220313200300213321
5124324401200041441
62324500413112413
7153400160646201
oct21506740604771
94255604704220
101212112112121
11428065762209
12176ab9a88709
138a3bca44061
1442948dab401
15217e32047b6
hex11a378309f9

1212112112121 has 24 divisors (see below), whose sum is σ = 1789466829696. Its totient is φ = 790434506400.

The previous prime is 1212112112089. The next prime is 1212112112131.

It is a happy number.

1212112112121 is a `hidden beast` number, since 121 + 211 + 211 + 2 + 121 = 666.

1212112112121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1212112112121 - 25 = 1212112112089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1212112112094 and 1212112112103.

It is not an unprimeable number, because it can be changed into a prime (1212112112131) 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, 7957425 + ... + 8108318.

It is an arithmetic number, because the mean of its divisors is an integer number (74561117904).

Almost surely, 21212112112121 is an apocalyptic number.

It is an amenable number.

1212112112121 is a deficient number, since it is larger than the sum of its proper divisors (577354717575).

1212112112121 is a wasteful number, since it uses less digits than its factorization.

1212112112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16065933 (or 16065930 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

The spelling of 1212112112121 in words is "one trillion, two hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 83 101 249 303 747 909 8383 25149 75447 16065743 48197229 144591687 1333456669 1622640043 4000370007 4867920129 12001110021 14603760387 134679123569 404037370707 1212112112121