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212012002102122 = 23211778444561229
BaseRepresentation
bin110000001101001011100100…
…000100101100101101101010
31000210200011000221210010021200
4300031023210010230231222
5210242101040014231442
62030524545202145030
762441235024450435
oct6015134404545552
91023604027703250
10212012002102122
116160a870055112
121b94141a652176
13913b85239b031
143a4d61560a81c
151979dba9e834c
hexc0d2e412cb6a

212012002102122 has 12 divisors (see below), whose sum is σ = 459359337887970. Its totient is φ = 70670667367368.

The previous prime is 212012002102111. The next prime is 212012002102123. The reversal of 212012002102122 is 221201200210212.

It is a happy number.

212012002102122 is a `hidden beast` number, since 2 + 120 + 120 + 0 + 210 + 212 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209488889060361 + 2523113041761 = 14473731^2 + 1588431^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11778444561229 = 212012002102122 / (2 + 1 + 2 + 0 + 1 + 2 + 0 + 0 + 2 + 1 + 0 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 212012002102095 and 212012002102104.

It is not an unprimeable number, because it can be changed into a prime (212012002102123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5889222280597 + ... + 5889222280632.

Almost surely, 2212012002102122 is an apocalyptic number.

212012002102122 is an abundant number, since it is smaller than the sum of its proper divisors (247347335785848).

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

212012002102122 is a wasteful number, since it uses less digits than its factorization.

212012002102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778444561237 (or 11778444561234 counting only the distinct ones).

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

Adding to 212012002102122 its reverse (221201200210212), we get a palindrome (433213202312334).

It can be divided in two parts, 21201200210212 and 2, that multiplied together give a palindrome (42402400420424).

The spelling of 212012002102122 in words is "two hundred twelve trillion, twelve billion, two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 11778444561229 23556889122458 35335333683687 70670667367374 106006001051061 212012002102122