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12430421304000 = 263537193383371
BaseRepresentation
bin1011010011100010111011…
…0110001010001011000000
31122000100002102200211121020
42310320232312022023000
53112130000323212000
642234242352225440
72422032266513640
oct264705666121300
948010072624536
1012430421304000
113a62791847157
121489122b3b280
136c225078340b
1430d8c8138520
15168525413ba0
hexb4e2ed8a2c0

12430421304000 has 448 divisors, whose sum is σ = 47152032525312. Its totient is φ = 2826510336000.

The previous prime is 12430421303999. The next prime is 12430421304011. The reversal of 12430421304000 is 40312403421.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32232315 + ... + 32615685.

Almost surely, 212430421304000 is an apocalyptic number.

12430421304000 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 12430421304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23576016262656).

12430421304000 is an abundant number, since it is smaller than the sum of its proper divisors (34721611221312).

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

12430421304000 is a wasteful number, since it uses less digits than its factorization.

12430421304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383601 (or 383581 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12430421304000 its reverse (40312403421), we get a palindrome (12470733707421).

The spelling of 12430421304000 in words is "twelve trillion, four hundred thirty billion, four hundred twenty-one million, three hundred four thousand".