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21012120221220 = 223659971445497
BaseRepresentation
bin1001100011100010000111…
…11101100011011000100100
32202101201221210012222000000
410301301003331203120210
510223230310234034340
6112404500151021300
74266034632656562
oct461610375433044
982351853188000
1021012120221220
116771210097587
12243435866a830
13b955855b78bb
14528dc6258a32
152668906b8d30
hex131c43f63624

21012120221220 has 168 divisors, whose sum is σ = 66224317125624. Its totient is φ = 5597608094208.

The previous prime is 21012120221171. The next prime is 21012120221293. The reversal of 21012120221220 is 2212202121012.

It is a happy number.

21012120221220 is a `hidden beast` number, since 2 + 10 + 1 + 212 + 0 + 221 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7958119988196 + 13054000233024 = 2821014^2 + 3613032^2 .

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 = 21012120221193 and 21012120221202.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13813512 + ... + 15259008.

It is an arithmetic number, because the mean of its divisors is an integer number (394192363843).

Almost surely, 221012120221220 is an apocalyptic number.

21012120221220 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 21012120221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33112158562812).

21012120221220 is an abundant number, since it is smaller than the sum of its proper divisors (45212196904404).

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

21012120221220 is a wasteful number, since it uses less digits than its factorization.

21012120221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446521 (or 1446504 counting only the distinct ones).

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

Adding to 21012120221220 its reverse (2212202121012), we get a palindrome (23224322342232).

The spelling of 21012120221220 in words is "twenty-one trillion, twelve billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".