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1320020000000 = 2857135077
BaseRepresentation
bin10011001101010111010…
…100101011110100000000
311200012012110111211022122
4103031113110223310000
5133111400110000000
62450224145423412
7164240216604332
oct23152724536400
94605173454278
101320020000000
114698a9971539
121939b403ab68
13976289854a0
1447c64399452
152450b7e2085
hex1335752bd00

1320020000000 has 288 divisors, whose sum is σ = 3547648339872. Its totient is φ = 487296000000.

The previous prime is 1320019999997. The next prime is 1320020000021. The reversal of 1320020000000 is 200231.

It can be written as a sum of positive squares in 16 ways, for example, as 672085156864 + 647934843136 = 819808^2 + 804944^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259997462 + ... + 260002538.

Almost surely, 21320020000000 is an apocalyptic number.

1320020000000 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 1320020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773824169936).

1320020000000 is an abundant number, since it is smaller than the sum of its proper divisors (2227628339872).

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

1320020000000 is an frugal number, since it uses more digits than its factorization.

1320020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 1320020000000 its reverse (200231), we get a palindrome (1320020200231).

The spelling of 1320020000000 in words is "one trillion, three hundred twenty billion, twenty million", and thus it is an aban number.