Search a number
-
+
121211022121 = 727973103757
BaseRepresentation
bin111000011100010111…
…1010110101100101001
3102120212101220220112121
41300320233112230221
53441220010201441
6131403352511241
711520502455100
oct1607057265451
9376771826477
10121211022121
1147450509a52
121b5a93ab521
13b57906a6c7
145c1c105037
15324646bdd1
hex1c38bd6b29

121211022121 has 12 divisors (see below), whose sum is σ = 141177536388. Its totient is φ = 103764770592.

The previous prime is 121211022089. The next prime is 121211022167. The reversal of 121211022121 is 121220112121.

It can be written as a sum of positive squares in 2 ways, for example, as 74712568896 + 46498453225 = 273336^2 + 215635^2 .

It is not a de Polignac number, because 121211022121 - 25 = 121211022089 is a prime.

It is a super-2 number, since 2×1212110221212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121211022095 and 121211022104.

It is not an unprimeable number, because it can be changed into a prime (121211022181) 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, 1512826 + ... + 1590931.

It is an arithmetic number, because the mean of its divisors is an integer number (11764794699).

Almost surely, 2121211022121 is an apocalyptic number.

It is an amenable number.

121211022121 is a deficient number, since it is larger than the sum of its proper divisors (19966514267).

121211022121 is an equidigital number, since it uses as much as digits as its factorization.

121211022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104568 (or 3104561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121211022121 its reverse (121220112121), we get a palindrome (242431134242).

The spelling of 121211022121 in words is "one hundred twenty-one billion, two hundred eleven million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 49 797 5579 39053 3103757 21726299 152084093 2473694329 17315860303 121211022121