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13020120120 = 23357193472351
BaseRepresentation
bin11000010000000111…
…10100010000111000
31020121101122122002010
430020003310100320
5203131122320440
65551550205520
7640436123610
oct141003642070
936541578063
1013020120120
115581577a57
1226344b38a0
1312c65c79b7
148b72c5a40
155130c8580
hex3080f4438

13020120120 has 256 divisors, whose sum is σ = 47145369600. Its totient is φ = 2810073600.

The previous prime is 13020120103. The next prime is 13020120121. The reversal of 13020120120 is 2102102031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13020120096 and 13020120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020120121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5536945 + ... + 5539295.

It is an arithmetic number, because the mean of its divisors is an integer number (184161600).

Almost surely, 213020120120 is an apocalyptic number.

13020120120 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 13020120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23572684800).

13020120120 is an abundant number, since it is smaller than the sum of its proper divisors (34125249480).

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

13020120120 is a wasteful number, since it uses less digits than its factorization.

13020120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13020120120 its reverse (2102102031), we get a palindrome (15122222151).

The spelling of 13020120120 in words is "thirteen billion, twenty million, one hundred twenty thousand, one hundred twenty".