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21200120122122 = 2325272122339949
BaseRepresentation
bin1001101001000000010011…
…01000010000101100001010
32210001201012211012110012200
410310200021220100230022
510234320321222401442
6113031111205221030
74315441511525124
oct464401150205412
983051184173180
1021200120122122
116833a14139707
122464885401776
13baa216739106
1453413c6d4214
1526b6e539d34c
hex134809a10b0a

21200120122122 has 24 divisors (see below), whose sum is σ = 45934466912100. Its totient is φ = 7066572351360.

The previous prime is 21200120122117. The next prime is 21200120122133. The reversal of 21200120122122 is 22122102100212.

It is a happy number.

21200120122122 is a `hidden beast` number, since 21 + 200 + 1 + 201 + 221 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21093361748001 + 106758374121 = 4592751^2 + 326739^2 .

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 = 21200120122095 and 21200120122104.

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, 10220997 + ... + 12118952.

Almost surely, 221200120122122 is an apocalyptic number.

21200120122122 is an abundant number, since it is smaller than the sum of its proper divisors (24734346789978).

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

21200120122122 is a wasteful number, since it uses less digits than its factorization.

21200120122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22392678 (or 22392675 counting only the distinct ones).

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

Adding to 21200120122122 its reverse (22122102100212), we get a palindrome (43322222222334).

The spelling of 21200120122122 in words is "twenty-one trillion, two hundred billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 52721 105442 158163 316326 474489 948978 22339949 44679898 67019847 134039694 201059541 402119082 1177784451229 2355568902458 3533353353687 7066706707374 10600060061061 21200120122122