1242581424000 has 512 divisors, whose sum is σ = 4822481664000. Its totient is φ = 277088256000.

The previous prime is 1242581423989. The next prime is 1242581424011. The reversal of 1242581424000 is 4241852421.

It is an interprime number because it is at equal distance from previous prime (1242581423989) and next prime (1242581424011).

It is a congruent number.

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, 13730901 + ... + 13821099.

It is an arithmetic number, because the mean of its divisors is an integer number (9418909500).

Almost surely, 2^{1242581424000} is an apocalyptic number.

1242581424000 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 1242581424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411240832000).

1242581424000 is an abundant number, since it is smaller than the sum of its proper divisors (3579900240000).

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

1242581424000 is an equidigital number, since it uses as much as digits as its factorization.

1242581424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90279 (or 90257 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 1242581424000 in words is "one trillion, two hundred forty-two billion, five hundred eighty-one million, four hundred twenty-four thousand".