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20322123120 = 243251316713001
BaseRepresentation
bin10010111011010010…
…101111110101110000
31221110021122211002200
4102323102233311300
5313104430414440
613200313343200
71316413124235
oct227322576560
957407584080
1020322123120
118689343982
123b31a07b00
131bbb350330
14daadb778c
157de199c30
hex4bb4afd70

20322123120 has 240 divisors, whose sum is σ = 73944142272. Its totient is φ = 4972032000.

The previous prime is 20322123103. The next prime is 20322123121. The reversal of 20322123120 is 2132122302.

20322123120 is a `hidden beast` number, since 20 + 322 + 12 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 20322123093 and 20322123102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322123121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556620 + ... + 1569620.

Almost surely, 220322123120 is an apocalyptic number.

20322123120 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 20322123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36972071136).

20322123120 is an abundant number, since it is smaller than the sum of its proper divisors (53622019152).

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

20322123120 is a wasteful number, since it uses less digits than its factorization.

20322123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13191 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20322123120 its reverse (2132122302), we get a palindrome (22454245422).

The spelling of 20322123120 in words is "twenty billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".