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321212121120 = 2532511172111783
BaseRepresentation
bin1001010110010011011…
…11000000000000100000
31010201002211021102120200
410223021233000000200
520230320300333440
6403321322305200
732130635660142
oct4531157000040
91121084242520
10321212121120
11114252960910
1252305358200
13243a0682b77
14117923d0c92
15854ea5bc30
hex4ac9bc0020

321212121120 has 288 divisors, whose sum is σ = 1196581486464. Its totient is φ = 77817753600.

The previous prime is 321212121053. The next prime is 321212121157. The reversal of 321212121120 is 21121212123.

321212121120 is a `hidden beast` number, since 321 + 21 + 212 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 321212121093 and 321212121102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27254749 + ... + 27266531.

It is an arithmetic number, because the mean of its divisors is an integer number (4154796828).

Almost surely, 2321212121120 is an apocalyptic number.

321212121120 is a gapful number since it is divisible by the number (30) 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 321212121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598290743232).

321212121120 is an abundant number, since it is smaller than the sum of its proper divisors (875369365344).

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

321212121120 is a wasteful number, since it uses less digits than its factorization.

321212121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13536 (or 13525 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 321212121120 its reverse (21121212123), we get a palindrome (342333333243).

The spelling of 321212121120 in words is "three hundred twenty-one billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".