1242717880320 has 1152 divisors, whose sum is σ = 5153941094400. Its totient is φ = 278245933056.

The previous prime is 1242717880253. The next prime is 1242717880333. The reversal of 1242717880320 is 230887172421.

1242717880320 is a `hidden beast` number, since 1 + 242 + 7 + 1 + 7 + 8 + 80 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9785180097 + ... + 9785180223.

It is an arithmetic number, because the mean of its divisors is an integer number (4473907200).

Almost surely, 2^{1242717880320} is an apocalyptic number.

1242717880320 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 1242717880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576970547200).

1242717880320 is an abundant number, since it is smaller than the sum of its proper divisors (3911223214080).

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

1242717880320 is an frugal number, since it uses more digits than its factorization.

1242717880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1242717880320 in words is "one trillion, two hundred forty-two billion, seven hundred seventeen million, eight hundred eighty thousand, three hundred twenty".