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12300041400000 = 26355191078951
BaseRepresentation
bin1011001011111101001110…
…0110010010111011000000
31121112212120000220110122220
42302333103212102323000
53103010441044300000
642054321102331040
72406435330563514
oct262772346227300
947485500813586
1012300041400000
113a12466788582
1214679b6b89a80
136b2b72c85323
1430747a41a144
15164e4405b1a0
hexb2fd3992ec0

12300041400000 has 336 divisors, whose sum is σ = 42818166961920. Its totient is φ = 3107376000000.

The previous prime is 12300041399963. The next prime is 12300041400083. The reversal of 12300041400000 is 414000321.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 10860525 + ... + 11939475.

It is an arithmetic number, because the mean of its divisors is an integer number (127435020720).

Almost surely, 212300041400000 is an apocalyptic number.

12300041400000 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 12300041400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409083480960).

12300041400000 is an abundant number, since it is smaller than the sum of its proper divisors (30518125561920).

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

12300041400000 is an equidigital number, since it uses as much as digits as its factorization.

12300041400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079010 (or 1078980 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12300041400000 its reverse (414000321), we get a palindrome (12300455400321).

The spelling of 12300041400000 in words is "twelve trillion, three hundred billion, forty-one million, four hundred thousand".