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320122000000 = 27561114551
BaseRepresentation
bin1001010100010001100…
…00100001001010000000
31010121021212000112112101
410222020300201022000
520221102213000000
6403021221240144
732061631050355
oct4521060411200
91117255015471
10320122000000
11113843583770
1252060263054
132425888089a
14116cb70462c
1584d8ec7e6a
hex4a88c21280

320122000000 has 224 divisors, whose sum is σ = 869698242720. Its totient is φ = 116400000000.

The previous prime is 320121999991. The next prime is 320122000007. The reversal of 320122000000 is 221023.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (320122000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21992725 + ... + 22007275.

Almost surely, 2320122000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434849121360).

320122000000 is an abundant number, since it is smaller than the sum of its proper divisors (549576242720).

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

320122000000 is an frugal number, since it uses more digits than its factorization.

320122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14606 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 320122000000 its reverse (221023), we get a palindrome (320122221023).

The spelling of 320122000000 in words is "three hundred twenty billion, one hundred twenty-two million", and thus it is an aban number.