1242337824000 has 2880 divisors, whose sum is σ = 5963318000640. Its totient is φ = 249628262400.

The previous prime is 1242337823989. The next prime is 1242337824011. The reversal of 1242337824000 is 4287332421.

It is a happy number.

1242337824000 is a `hidden beast` number, since 1 + 2 + 42 + 3 + 378 + 240 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1242337823989) and next prime (1242337824011).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5425055886 + ... + 5425056114.

It is an arithmetic number, because the mean of its divisors is an integer number (2070596528).

Almost surely, 2^{1242337824000} is an apocalyptic number.

1242337824000 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 1242337824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981659000320).

1242337824000 is an abundant number, since it is smaller than the sum of its proper divisors (4720980176640).

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

1242337824000 is a wasteful number, since it uses less digits than its factorization.

1242337824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1242337824000 in words is "one trillion, two hundred forty-two billion, three hundred thirty-seven million, eight hundred twenty-four thousand".