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21210120202212 = 22324114370000137
BaseRepresentation
bin1001101001010010111011…
…01011100010011111100100
32210002200000202010011012100
410310221131223202133210
510240001311232432322
6113035443353452100
74316244360022434
oct464513553423744
983080022104170
1021210120202212
1168381859a8907
1224667b6411030
13bab14b453b76
1453480a8782c4
1526bacd274dac
hex134a5dae27e4

21210120202212 has 36 divisors (see below), whose sum is σ = 54922140527436. Its totient is φ = 6897600065280.

The previous prime is 21210120202207. The next prime is 21210120202237. The reversal of 21210120202212 is 21220202101212.

It is a happy number.

21210120202212 is a `hidden beast` number, since 21 + 210 + 1 + 20 + 202 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8519825427876 + 12690294774336 = 2918874^2 + 3562344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×212101202022122 (a number of 27 digits) contains 22 as substring.

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

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, 7184998593 + ... + 7185001544.

It is an arithmetic number, because the mean of its divisors is an integer number (1525615014651).

Almost surely, 221210120202212 is an apocalyptic number.

It is an amenable number.

21210120202212 is an abundant number, since it is smaller than the sum of its proper divisors (33712020325224).

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

21210120202212 is a wasteful number, since it uses less digits than its factorization.

21210120202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14370000188 (or 14370000183 counting only the distinct ones).

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

Adding to 21210120202212 its reverse (21220202101212), we get a palindrome (42430322303424).

The spelling of 21210120202212 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 14370000137 28740000274 43110000411 57480000548 86220000822 129330001233 172440001644 258660002466 517320004932 589170005617 1178340011234 1767510016851 2356680022468 3535020033702 5302530050553 7070040067404 10605060101106 21210120202212