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13120200000 = 26325537197
BaseRepresentation
bin11000011100000011…
…00101110101000000
31020212100222012212100
430032001211311000
5203332232400000
610005523230400
7643062600645
oct141601456500
936770865770
1013120200000
1156230134a6
122661b18400
13131126896b
148c66d7dcc
1551bc96a00
hex30e065d40

13120200000 has 504 divisors, whose sum is σ = 48520816344. Its totient is φ = 3386880000.

The previous prime is 13120199969. The next prime is 13120200001. The reversal of 13120200000 is 202131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9096581376 + 4023618624 = 95376^2 + 63432^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120200001) 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 71 ways as a sum of consecutive naturals, for example, 66599902 + ... + 66600098.

It is an arithmetic number, because the mean of its divisors is an integer number (96271461).

Almost surely, 213120200000 is an apocalyptic number.

13120200000 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 13120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24260408172).

13120200000 is an abundant number, since it is smaller than the sum of its proper divisors (35400616344).

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

13120200000 is an equidigital number, since it uses as much as digits as its factorization.

13120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13120200000 its reverse (202131), we get a palindrome (13120402131).

The spelling of 13120200000 in words is "thirteen billion, one hundred twenty million, two hundred thousand".