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20022122120 = 23571113717043
BaseRepresentation
bin10010101001011010…
…010101011010001000
31220200101011012002112
4102221122111122020
5312001130401440
613110435321452
71306111141610
oct225132253210
956611135075
1020022122120
118544a69770
123a69450288
131b71151c50
14d7d203a40
157c2b8a965
hex4a9695688

20022122120 has 256 divisors, whose sum is σ = 61347041280. Its totient is φ = 5678668800.

The previous prime is 20022122093. The next prime is 20022122167. The reversal of 20022122120 is 2122122002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20022122095 and 20022122104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2839319 + ... + 2846361.

It is an arithmetic number, because the mean of its divisors is an integer number (239636880).

Almost surely, 220022122120 is an apocalyptic number.

20022122120 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 20022122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30673520640).

20022122120 is an abundant number, since it is smaller than the sum of its proper divisors (41324919160).

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

20022122120 is a wasteful number, since it uses less digits than its factorization.

20022122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20022122120 its reverse (2122122002), we get a palindrome (22144244122).

The spelling of 20022122120 in words is "twenty billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".