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12696381427200 = 29352312344053
BaseRepresentation
bin1011100011000001101101…
…0011100000111000000000
31122221202120122120221211120
42320300123103200320000
53131004142121132300
643000345340512240
72450166111331062
oct270603323407000
948852518527746
1012696381427200
11405556135a169
12151078854b680
13711357275a93
1431c71849b732
151703de4983a0
hexb8c1b4e0e00

12696381427200 has 360 divisors, whose sum is σ = 43338430441944. Its totient is φ = 3276476006400.

The previous prime is 12696381427199. The next prime is 12696381427241. The reversal of 12696381427200 is 272418369621.

It is a super-2 number, since 2×126963814272002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36730374 + ... + 37074426.

Almost surely, 212696381427200 is an apocalyptic number.

12696381427200 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 12696381427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669215220972).

12696381427200 is an abundant number, since it is smaller than the sum of its proper divisors (30642049014744).

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

12696381427200 is an equidigital number, since it uses as much as digits as its factorization.

12696381427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344146 (or 344094 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 12696381427200 in words is "twelve trillion, six hundred ninety-six billion, three hundred eighty-one million, four hundred twenty-seven thousand, two hundred".