242124664320000 has 6240 divisors, whose sum is σ = 1166377252803840. Its totient is φ = 49049763840000.

The previous prime is 242124664319983. The next prime is 242124664320017. The reversal of 242124664320000 is 23466421242.

242124664320000 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 2 + 4 + 6 + 643 + 2 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (242124664319983) and next prime (242124664320017).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2496130559952 + ... + 2496130560048.

Almost surely, 2^{242124664320000} is an apocalyptic number.

242124664320000 is a gapful number since it is divisible by the number (20) 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 242124664320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583188626401920).

242124664320000 is an abundant number, since it is smaller than the sum of its proper divisors (924252588483840).

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

242124664320000 is an equidigital number, since it uses as much as digits as its factorization.

242124664320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 242124664320000 in words is "two hundred forty-two trillion, one hundred twenty-four billion, six hundred sixty-four million, three hundred twenty thousand".