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201212211020220 = 223456710717325299
BaseRepresentation
bin101101110000000001011110…
…010111001100000110111100
3222101102200212221112021020000
4231300001132113030012330
5202333130102010121340
61551535340314354300
760245050110060561
oct5560013627140674
9871380787467200
10201212211020220
115912668a590694
121a69833642b990
1388372cb65372a
143798a19bba868
15183ded0cced30
hexb7005e5cc1bc

201212211020220 has 240 divisors, whose sum is σ = 646618450262400. Its totient is φ = 52361763037056.

The previous prime is 201212211020189. The next prime is 201212211020221. The reversal of 201212211020220 is 22020112212102.

It is a happy number.

201212211020220 is a `hidden beast` number, since 2 + 0 + 1 + 212 + 211 + 0 + 20 + 220 = 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 = 201212211020193 and 201212211020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212211020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2951131 + ... + 20276429.

It is an arithmetic number, because the mean of its divisors is an integer number (2694243542760).

Almost surely, 2201212211020220 is an apocalyptic number.

201212211020220 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 201212211020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323309225131200).

201212211020220 is an abundant number, since it is smaller than the sum of its proper divisors (445406239242180).

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

201212211020220 is a wasteful number, since it uses less digits than its factorization.

201212211020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17325494 (or 17325483 counting only the distinct ones).

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

Adding to 201212211020220 its reverse (22020112212102), we get a palindrome (223232323232322).

The spelling of 201212211020220 in words is "two hundred one trillion, two hundred twelve billion, two hundred eleven million, twenty thousand, two hundred twenty".