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12423304430240 = 2551122380934487
BaseRepresentation
bin1011010011001000011010…
…1001011100001010100000
31121222122201110001012011012
42310302012221130022200
53112020411413231430
642231104241040052
72421361031213564
oct264620651341240
947878643035135
1012423304430240
113a5a76a526600
121487877626028
136c16881a9502
1430d410c776a4
1516825a710695
hexb4c86a5c2a0

12423304430240 has 288 divisors, whose sum is σ = 33706038401280. Its totient is φ = 4315682877440.

The previous prime is 12423304430227. The next prime is 12423304430293. The reversal of 12423304430240 is 4203440332421.

It is a super-2 number, since 2×124233044302402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12423304430197 and 12423304430206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360214277 + ... + 360248763.

It is an arithmetic number, because the mean of its divisors is an integer number (117034855560).

Almost surely, 212423304430240 is an apocalyptic number.

12423304430240 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 12423304430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853019200640).

12423304430240 is an abundant number, since it is smaller than the sum of its proper divisors (21282733971040).

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

12423304430240 is a wasteful number, since it uses less digits than its factorization.

12423304430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35356 (or 35337 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12423304430240 its reverse (4203440332421), we get a palindrome (16626744762661).

The spelling of 12423304430240 in words is "twelve trillion, four hundred twenty-three billion, three hundred four million, four hundred thirty thousand, two hundred forty".