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12030301120320 = 263357211942719
BaseRepresentation
bin1010111100010000010111…
…0100110010011101000000
31120121002022100222111121000
42233010011310302131000
53034101024041322240
641330351040132000
72351106035205120
oct257040564623500
946532270874530
1012030301120320
113919027397aaa
121423677607000
136935b6285692
142d83ac00cc80
1515ce081ca430
hexaf105d32740

12030301120320 has 448 divisors, whose sum is σ = 48733043097600. Its totient is φ = 2736748062720.

The previous prime is 12030301120319. The next prime is 12030301120339. The reversal of 12030301120320 is 2302110303021.

12030301120320 is a `hidden beast` number, since 1 + 2 + 0 + 30 + 301 + 12 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 12030301120293 and 12030301120302.

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 63 ways as a sum of consecutive naturals, for example, 12289921 + ... + 13232639.

Almost surely, 212030301120320 is an apocalyptic number.

12030301120320 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 12030301120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24366521548800).

12030301120320 is an abundant number, since it is smaller than the sum of its proper divisors (36702741977280).

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

12030301120320 is a wasteful number, since it uses less digits than its factorization.

12030301120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942963 (or 942947 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12030301120320 its reverse (2302110303021), we get a palindrome (14332411423341).

The spelling of 12030301120320 in words is "twelve trillion, thirty billion, three hundred one million, one hundred twenty thousand, three hundred twenty".