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12320103332020 = 225112925114935153
BaseRepresentation
bin1011001101000111111101…
…1000011111100010110100
31121121210100011222012200011
42303101333120133202310
53103323032423111040
642111435523230004
72411045434312321
oct263217730374264
947553304865604
1012320103332020
113a1aa21167a90
12146b875818304
136b4a1c435413
14308420a23b48
1516571a45c3ea
hexb347f61f8b4

12320103332020 has 192 divisors, whose sum is σ = 29339137578240. Its totient is φ = 4304599040000.

The previous prime is 12320103331993. The next prime is 12320103332071. The reversal of 12320103332020 is 2023330102321.

It is a super-2 number, since 2×123201033320202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12320103331982 and 12320103332000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2390857764 + ... + 2390862916.

It is an arithmetic number, because the mean of its divisors is an integer number (152808008220).

Almost surely, 212320103332020 is an apocalyptic number.

12320103332020 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 12320103332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669568789120).

12320103332020 is an abundant number, since it is smaller than the sum of its proper divisors (17019034246220).

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

12320103332020 is a wasteful number, since it uses less digits than its factorization.

12320103332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12320103332020 its reverse (2023330102321), we get a palindrome (14343433434341).

The spelling of 12320103332020 in words is "twelve trillion, three hundred twenty billion, one hundred three million, three hundred thirty-two thousand, twenty".