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20220012120 = 23357114350891
BaseRepresentation
bin10010110101001101…
…001110011001011000
31221012011112001010210
4102311031032121120
5312402310341440
613142225011120
71314033160440
oct226515163130
957164461123
1020220012120
118636740420
123b03783aa0
131ba314aa19
14d9b5d7120
157d5229a80
hex4b534e658

20220012120 has 256 divisors, whose sum is σ = 77388410880. Its totient is φ = 4103769600.

The previous prime is 20220012119. The next prime is 20220012121. The reversal of 20220012120 is 2121002202.

It is an interprime number because it is at equal distance from previous prime (20220012119) and next prime (20220012121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20220012096 and 20220012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371875 + ... + 422765.

It is an arithmetic number, because the mean of its divisors is an integer number (302298480).

Almost surely, 220220012120 is an apocalyptic number.

20220012120 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 20220012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38694205440).

20220012120 is an abundant number, since it is smaller than the sum of its proper divisors (57168398760).

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

20220012120 is a wasteful number, since it uses less digits than its factorization.

20220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50966 (or 50962 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20220012120 its reverse (2121002202), we get a palindrome (22341014322).

The spelling of 20220012120 in words is "twenty billion, two hundred twenty million, twelve thousand, one hundred twenty".