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21120122120 = 2351015227753
BaseRepresentation
bin10011101010110110…
…110111110100001000
32000111220020100221012
4103222312313310020
5321223222401440
613411421303052
71345243035026
oct235266676410
960456210835
1021120122120
118a58838389
124115104a88
131cb77824a6
141044d81716
15839278e65
hex4eadb7d08

21120122120 has 32 divisors (see below), whose sum is σ = 47990781720. Its totient is φ = 8364403200.

The previous prime is 21120122119. The next prime is 21120122129. The reversal of 21120122120 is 2122102112.

It can be written as a sum of positive squares in 4 ways, for example, as 21069683716 + 50438404 = 145154^2 + 7102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21120122095 and 21120122104.

It is not an unprimeable number, because it can be changed into a prime (21120122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2609837 + ... + 2617916.

Almost surely, 221120122120 is an apocalyptic number.

21120122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120122120 is an abundant number, since it is smaller than the sum of its proper divisors (26870659600).

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

21120122120 is a wasteful number, since it uses less digits than its factorization.

21120122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227865 (or 5227861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21120122120 its reverse (2122102112), we get a palindrome (23242224232).

The spelling of 21120122120 in words is "twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 5227753 10455506 20911012 26138765 41822024 52277530 104555060 209110120 528003053 1056006106 2112012212 2640015265 4224024424 5280030530 10560061060 21120122120