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1323120021120 = 273252322743997
BaseRepresentation
bin10011010000010000000…
…110010100111010000000
311200111012111202012211200
4103100100012110322000
5133134222211133440
62451455525541200
7164410101420642
oct23202006247200
94614174665750
101323120021120
1147014a838267
1219451a274800
1397a00cba001
1448079d9a892
152463da41c30
hex13410194e80

1323120021120 has 384 divisors, whose sum is σ = 4788657843840. Its totient is φ = 335997100032.

The previous prime is 1323120021103. The next prime is 1323120021121. The reversal of 1323120021120 is 211200213231.

1323120021120 is a `hidden beast` number, since 1 + 3 + 231 + 200 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1323120021093 and 1323120021102.

It is not an unprimeable number, because it can be changed into a prime (1323120021121) by changing a digit.

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, 30050962 + ... + 30094958.

It is an arithmetic number, because the mean of its divisors is an integer number (12470463135).

Almost surely, 21323120021120 is an apocalyptic number.

1323120021120 is a gapful number since it is divisible by the number (10) 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 1323120021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394328921920).

1323120021120 is an abundant number, since it is smaller than the sum of its proper divisors (3465537822720).

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

1323120021120 is a wasteful number, since it uses less digits than its factorization.

1323120021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44272 (or 44257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1323120021120 its reverse (211200213231), we get a palindrome (1534320234351).

The spelling of 1323120021120 in words is "one trillion, three hundred twenty-three billion, one hundred twenty million, twenty-one thousand, one hundred twenty".