Search a number
-
+
20221210212120 = 233556961298861
BaseRepresentation
bin1001001100100000111100…
…00011010011011100011000
32122121010110220111121100000
410212100132003103130120
510122301014303241440
6111001255024413000
74154635303553001
oct446203603233430
978533426447300
1020221210212120
116496848aa9565
12232700a477160
13b38b0c939288
144dc9d72521a8
1525100042c730
hex12641e0d3718

20221210212120 has 192 divisors, whose sum is σ = 68162986513440. Its totient is φ = 5391530035200.

The previous prime is 20221210212089. The next prime is 20221210212139. The reversal of 20221210212120 is 2121201212202.

It is a happy number.

20221210212120 is a `hidden beast` number, since 2 + 0 + 221 + 210 + 21 + 212 + 0 = 666.

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 = 20221210212093 and 20221210212102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 67511490 + ... + 67810350.

Almost surely, 220221210212120 is an apocalyptic number.

20221210212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221210212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34081493256720).

20221210212120 is an abundant number, since it is smaller than the sum of its proper divisors (47941776301320).

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

20221210212120 is a wasteful number, since it uses less digits than its factorization.

20221210212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305848 (or 305832 counting only the distinct ones).

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

Adding to 20221210212120 its reverse (2121201212202), we get a palindrome (22342411424322).

The spelling of 20221210212120 in words is "twenty trillion, two hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".