Search a number
-
+
121210210102122 = 2328390271898753
BaseRepresentation
bin11011100011110101110011…
…100001000010101101101010
3120220011120201221121001222100
4123203311303201002231222
5111341402002241231442
61105443111331234230
734350102000262611
oct3343656341025552
9526146657531870
10121210210102122
1135691a63728129
1211717426148976
1352830c60b530b
1421d08695ac878
15e02e508a184c
hex6e3d73842b6a

121210210102122 has 48 divisors (see below), whose sum is σ = 265789483884288. Its totient is φ = 39916128775680.

The previous prime is 121210210102103. The next prime is 121210210102127. The reversal of 121210210102122 is 221201012012121.

121210210102122 is a `hidden beast` number, since 1 + 21 + 210 + 210 + 10 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121210210102095 and 121210210102104.

It is not an unprimeable number, because it can be changed into a prime (121210210102127) 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, 134415498 + ... + 135314250.

It is an arithmetic number, because the mean of its divisors is an integer number (5537280914256).

Almost surely, 2121210210102122 is an apocalyptic number.

121210210102122 is an abundant number, since it is smaller than the sum of its proper divisors (144579273782166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121210210102122 is a wasteful number, since it uses less digits than its factorization.

121210210102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989115 (or 989112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121210210102122 its reverse (221201012012121), we get a palindrome (342411222114243).

The spelling of 121210210102122 in words is "one hundred twenty-one trillion, two hundred ten billion, two hundred ten million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1494 90271 180542 270813 541626 812439 898753 1624878 1797506 2696259 5392518 7492493 8088777 14984986 16177554 22477479 44954958 67432437 74596499 134864874 149192998 223789497 447578994 671368491 1342736982 81131332063 162262664126 243393996189 486787992378 730181988567 1460363977134 6733900561229 13467801122458 20201701683687 40403403367374 60605105051061 121210210102122