Search a number
-
+
1212202022121 = 321091817099629
BaseRepresentation
bin10001101000111100110…
…111101111010011101001
311021212220102222001120200
4101220330313233103221
5124330042204201441
62324513344142413
7153402332115366
oct21507467572351
94255812861520
101212202022121
114281014919a2
12176b24007a09
138a40556403c
1442956cd346d
15217eb0647b6
hex11a3cdef4e9

1212202022121 has 48 divisors (see below), whose sum is σ = 1779475698000. Its totient is φ = 795091023360.

The previous prime is 1212202022077. The next prime is 1212202022137.

It is a happy number.

1212202022121 is a `hidden beast` number, since 121 + 220 + 202 + 2 + 121 = 666.

1212202022121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 12782789721 + 1199419232400 = 113061^2 + 1095180^2 .

It is not a de Polignac number, because 1212202022121 - 214 = 1212202005737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1212202022094 and 1212202022103.

It is not an unprimeable number, because it can be changed into a prime (1212202022621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125885935 + ... + 125895563.

It is an arithmetic number, because the mean of its divisors is an integer number (37072410375).

Almost surely, 21212202022121 is an apocalyptic number.

It is an amenable number.

1212202022121 is a deficient number, since it is larger than the sum of its proper divisors (567273675879).

1212202022121 is a wasteful number, since it uses less digits than its factorization.

1212202022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10634 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 1212202022121 in words is "one trillion, two hundred twelve billion, two hundred two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 109 181 327 543 709 981 1629 2127 6381 9629 19729 28887 59187 77281 86661 128329 177561 231843 384987 695529 1049561 1154961 1742849 3148683 5228547 6826961 9446049 13987861 15685641 20480883 41963583 61442649 125890749 189970541 569911623 744138749 1235679941 1709734869 2232416247 3707039823 6697248741 11121119469 134689113569 404067340707 1212202022121