Search a number
-
+
1211012212122 = 2321012617254537
BaseRepresentation
bin10001100111110101111…
…100111110010110011010
311021202211112010110002200
4101213311330332112122
5124320123111241442
62324155322311030
7153331003650516
oct21476574762632
94252745113080
101211012212122
11427650906049
12176851658476
138a275bc9a5b
1442882c97146
152177b88d34c
hex119f5f3e59a

1211012212122 has 48 divisors (see below), whose sum is σ = 2650861565352. Its totient is φ = 399519705600.

The previous prime is 1211012212073. The next prime is 1211012212133. The reversal of 1211012212122 is 2212122101121.

It can be written as a sum of positive squares in 4 ways, for example, as 1048168487601 + 162843724521 = 1023801^2 + 403539^2 .

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 = 1211012212095 and 1211012212104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4630438 + ... + 4884974.

Almost surely, 21211012212122 is an apocalyptic number.

1211012212122 is an abundant number, since it is smaller than the sum of its proper divisors (1439849353230).

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

1211012212122 is a wasteful number, since it uses less digits than its factorization.

1211012212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257263 (or 257260 counting only the distinct ones).

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

Adding to 1211012212122 its reverse (2212122101121), we get a palindrome (3423134313243).

The spelling of 1211012212122 in words is "one trillion, two hundred eleven billion, twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 2617 5234 7851 15702 23553 47106 254537 264317 509074 528634 763611 792951 1527222 1585902 2290833 2378853 4581666 4757706 25708237 51416474 77124711 154249422 231374133 462748266 666123329 1332246658 1998369987 3996739974 5995109961 11990219922 67278456229 134556912458 201835368687 403670737374 605506106061 1211012212122