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21212122122 = 2328377140677
BaseRepresentation
bin10011110000010101…
…110100110000001010
32000202022100110012200
4103300111310300022
5321420300401442
613424505221030
71350441030432
oct236025646012
960668313180
1021212122122
118aa5765344
12413ba91776
132000854869
14105328d2c2
1584239d34c
hex4f0574c0a

21212122122 has 24 divisors (see below), whose sum is σ = 45965411076. Its totient is φ = 7069813056.

The previous prime is 21212122081. The next prime is 21212122187. The reversal of 21212122122 is 22122121212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18728196201 + 2483925921 = 136851^2 + 49839^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21212122095 and 21212122104.

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, 80448 + ... + 221124.

Almost surely, 221212122122 is an apocalyptic number.

21212122122 is an abundant number, since it is smaller than the sum of its proper divisors (24753288954).

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

21212122122 is a wasteful number, since it uses less digits than its factorization.

21212122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149062 (or 149059 counting only the distinct ones).

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

Adding to 21212122122 its reverse (22122121212), we get a palindrome (43334243334).

The spelling of 21212122122 in words is "twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 8377 16754 25131 50262 75393 140677 150786 281354 422031 844062 1266093 2532186 1178451229 2356902458 3535353687 7070707374 10606061061 21212122122