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12411421024320 = 2633543149224209
BaseRepresentation
bin1011010010011100001001…
…0101110110000001000000
31121221112001021022121211000
42310213002111312001000
53111322042240234240
642221421134252000
72420460404014353
oct264470225660100
947845037277730
1012411421024320
113a5572166a87a
1214854bb957000
136c0513248586
1430ca0492a29a
15167cb2321430
hexb49c2576040

12411421024320 has 448 divisors, whose sum is σ = 45103877280000. Its totient is φ = 3211031642112.

The previous prime is 12411421024283. The next prime is 12411421024393. The reversal of 12411421024320 is 2342012411421.

12411421024320 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 14 + 210 + 2 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 55244376 + ... + 55468584.

It is an arithmetic number, because the mean of its divisors is an integer number (100678297500).

Almost surely, 212411421024320 is an apocalyptic number.

12411421024320 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 12411421024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22551938640000).

12411421024320 is an abundant number, since it is smaller than the sum of its proper divisors (32692456255680).

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

12411421024320 is a wasteful number, since it uses less digits than its factorization.

12411421024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224427 (or 224411 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12411421024320 its reverse (2342012411421), we get a palindrome (14753433435741).

The spelling of 12411421024320 in words is "twelve trillion, four hundred eleven billion, four hundred twenty-one million, twenty-four thousand, three hundred twenty".