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21210120001220 = 2257012617757793
BaseRepresentation
bin1001101001010010111011…
…01010110001011011000100
32210002200000201201221111012
410310221131222301123010
510240001311210014340
6113035443345301352
74316244355224443
oct464513552613304
983080021657435
1021210120001220
1168381858808a7
1224667b6334858
13bab14b3b3537
1453480a824d5a
1526bacd235565
hex134a5dab16c4

21210120001220 has 48 divisors (see below), whose sum is σ = 44607267392688. Its totient is φ = 8471474995200.

The previous prime is 21210120001117. The next prime is 21210120001349. The reversal of 21210120001220 is 2210002101212.

It can be written as a sum of positive squares in 8 ways, for example, as 5850477338176 + 15359642663044 = 2418776^2 + 3919138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21210120001195 and 21210120001204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366972644 + ... + 367030436.

It is an arithmetic number, because the mean of its divisors is an integer number (929318070681).

Almost surely, 221210120001220 is an apocalyptic number.

21210120001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210120001220 is an abundant number, since it is smaller than the sum of its proper divisors (23397147391468).

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

21210120001220 is a wasteful number, since it uses less digits than its factorization.

21210120001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84680 (or 84678 counting only the distinct ones).

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

Adding to 21210120001220 its reverse (2210002101212), we get a palindrome (23420122102432).

The spelling of 21210120001220 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 701 1402 2804 3505 7010 14020 26177 52354 57793 104708 115586 130885 231172 261770 288965 523540 577930 1155860 18350077 36700154 40512893 73400308 81025786 91750385 162051572 183500770 202564465 367001540 405128930 810257860 1512847361 3025694722 6051389444 7564236805 15128473610 30256947220 1060506000061 2121012000122 4242024000244 5302530000305 10605060000610 21210120001220