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21200112021220 = 225116110116395957
BaseRepresentation
bin1001101001000000010010…
…01001010110111011100100
32210001201012020221212212021
410310200021021112323210
510234320312134134340
6113031110315432524
74315441352625256
oct464401111267344
983051166855767
1021200112021220
116833a0a606350
122464882755744
13baa214b60a92
1453413b5c5cd6
1526b6e47ece4a
hex134809256ee4

21200112021220 has 192 divisors, whose sum is σ = 50158834129152. Its totient is φ = 7461538560000.

The previous prime is 21200112021181. The next prime is 21200112021301. The reversal of 21200112021220 is 2212021100212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21200112021194 and 21200112021203.

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 63 ways as a sum of consecutive naturals, for example, 220885482 + ... + 220981438.

It is an arithmetic number, because the mean of its divisors is an integer number (261243927756).

Almost surely, 221200112021220 is an apocalyptic number.

21200112021220 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 21200112021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25079417064576).

21200112021220 is an abundant number, since it is smaller than the sum of its proper divisors (28958722107932).

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

21200112021220 is a wasteful number, since it uses less digits than its factorization.

21200112021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96302 (or 96300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21200112021220 its reverse (2212021100212), we get a palindrome (23412133121432).

It can be divided in two parts, 212001 and 12021220, that added together give a palindrome (12233221).

The spelling of 21200112021220 in words is "twenty-one trillion, two hundred billion, one hundred twelve million, twenty-one thousand, two hundred twenty".