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20202220221120 = 26335717192394327
BaseRepresentation
bin1001001011111101100100…
…01010001111001011000000
32122112022110110111002222000
410211332302022033023000
510121443121334033440
6110544434415144000
74153363564364520
oct445766212171300
978468413432860
1020202220221120
11648979370a223
1223233aa815000
13b370a4594502
144dbb15161680
1525078d1bd730
hex125fb228f2c0

20202220221120 has 1792 divisors, whose sum is σ = 91181334528000. Its totient is φ = 4099111059456.

The previous prime is 20202220221107. The next prime is 20202220221121. The reversal of 20202220221120 is 2112202220202.

20202220221120 is a `hidden beast` number, since 2 + 0 + 202 + 220 + 221 + 1 + 20 = 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 = 20202220221093 and 20202220221102.

It is not an unprimeable number, because it can be changed into a prime (20202220221121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4668872397 + ... + 4668876723.

Almost surely, 220202220221120 is an apocalyptic number.

20202220221120 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 20202220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45590667264000).

20202220221120 is an abundant number, since it is smaller than the sum of its proper divisors (70979114306880).

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

20202220221120 is a wasteful number, since it uses less digits than its factorization.

20202220221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20202220221120 its reverse (2112202220202), we get a palindrome (22314422441322).

The spelling of 20202220221120 in words is "twenty trillion, two hundred two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".