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212120002021122 = 23213906495735133
BaseRepresentation
bin110000001110110000001001…
…010111101100011100000010
31000211001110210122200110022200
4300032300021113230130002
5210300333231004133442
62031050330023214030
762452110251561106
oct6016601127543402
91024043718613280
10212120002021122
1161651651202818
121b95a33b5a7316
139148aa43c2a50
143a5493cd13906
15197cadc21434c
hexc0ec095ec702

212120002021122 has 24 divisors (see below), whose sum is σ = 494946671383164. Its totient is φ = 65267692929504.

The previous prime is 212120002021111. The next prime is 212120002021133. The reversal of 212120002021122 is 221120200021212.

It is a happy number.

212120002021122 is a `hidden beast` number, since 212 + 1 + 200 + 0 + 20 + 211 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (212120002021111) and next prime (212120002021133).

It can be written as a sum of positive squares in 2 ways, for example, as 196550277690321 + 15569724330801 = 14019639^2 + 3945849^2 .

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 = 212120002021095 and 212120002021104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453247867333 + ... + 453247867800.

Almost surely, 2212120002021122 is an apocalyptic number.

212120002021122 is an abundant number, since it is smaller than the sum of its proper divisors (282826669362042).

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

212120002021122 is a wasteful number, since it uses less digits than its factorization.

212120002021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906495735154 (or 906495735151 counting only the distinct ones).

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

Adding to 212120002021122 its reverse (221120200021212), we get a palindrome (433240202042334).

The spelling of 212120002021122 in words is "two hundred twelve trillion, one hundred twenty billion, two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 906495735133 1812991470266 2719487205399 5438974410798 8158461616197 11784444556729 16316923232394 23568889113458 35353333670187 70706667340374 106060001010561 212120002021122