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20122220220000 = 253542359247141
BaseRepresentation
bin1001001001101000100011…
…10010011100111001100000
32122020122222010100222102120
410210310101302130321200
510114140301334020000
6110444004221344240
74144532242526613
oct444642162347140
978218863328376
1020122220220000
116458870802318
12230b9a2a08080
13b2c69545c042
144d7cc63c617a
1524d659bee6a0
hex124d11c9ce60

20122220220000 has 480 divisors, whose sum is σ = 70042336277760. Its totient is φ = 5045610240000.

The previous prime is 20122220219999. The next prime is 20122220220001. The reversal of 20122220220000 is 2202222102.

It is an interprime number because it is at equal distance from previous prime (20122220219999) and next prime (20122220220001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122220220001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 81296430 + ... + 81543570.

It is an arithmetic number, because the mean of its divisors is an integer number (145921533912).

Almost surely, 220122220220000 is an apocalyptic number.

20122220220000 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 20122220220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35021168138880).

20122220220000 is an abundant number, since it is smaller than the sum of its proper divisors (49920116057760).

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

20122220220000 is a wasteful number, since it uses less digits than its factorization.

20122220220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247256 (or 247233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20122220220000 its reverse (2202222102), we get a palindrome (20124422442102).

The spelling of 20122220220000 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty thousand".