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1343112421200 = 2435211891143269
BaseRepresentation
bin10011100010110111101…
…111010001111101010000
311202101210210222100221220
4103202313233101331100
5134001143234434300
62505003424245040
7166015402132434
oct23426757217520
94671723870856
101343112421200
11478679a46360
12198379770780
1399868c33644
14490152649c4
1524e0dcaada0
hex138b7bd1f50

1343112421200 has 240 divisors, whose sum is σ = 4746308270400. Its totient is φ = 321944268800.

The previous prime is 1343112421199. The next prime is 1343112421229. The reversal of 1343112421200 is 21242113431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603166 + ... + 1746434.

It is an arithmetic number, because the mean of its divisors is an integer number (19776284460).

Almost surely, 21343112421200 is an apocalyptic number.

1343112421200 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 1343112421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373154135200).

1343112421200 is an abundant number, since it is smaller than the sum of its proper divisors (3403195849200).

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

1343112421200 is a wasteful number, since it uses less digits than its factorization.

1343112421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143390 (or 1143379 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1343112421200 its reverse (21242113431), we get a palindrome (1364354534631).

The spelling of 1343112421200 in words is "one trillion, three hundred forty-three billion, one hundred twelve million, four hundred twenty-one thousand, two hundred".