12421241431040 has 176 divisors, whose sum is σ = 32213358020592. Its totient is φ = 4568452694016.

The previous prime is 12421241431031. The next prime is 12421241431061. The reversal of 12421241431040 is 4013414212421.

It can be written as a sum of positive squares in 8 ways, for example, as 1929032098816 + 10492209332224 = 1388896^2 + 3239168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12421241430994 and 12421241431012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16742852 + ... + 17468988.

Almost surely, 2^{12421241431040} is an apocalyptic number.

12421241431040 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 12421241431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106679010296).

12421241431040 is an abundant number, since it is smaller than the sum of its proper divisors (19792116589552).

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

12421241431040 is a wasteful number, since it uses less digits than its factorization.

12421241431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726432 (or 726414 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 12421241431040 its reverse (4013414212421), we get a palindrome (16434655643461).

The spelling of 12421241431040 in words is "twelve trillion, four hundred twenty-one billion, two hundred forty-one million, four hundred thirty-one thousand, forty".