1242588382760 has 64 divisors (see below), whose sum is σ = 2960497797120. Its totient is φ = 467764208640.

The previous prime is 1242588382753. The next prime is 1242588382817. The reversal of 1242588382760 is 672838852421.

It is a super-3 number, since 3×1242588382760³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1242588382696 and 1242588382705.

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 15 ways as a sum of consecutive naturals, for example, 10636265 + ... + 10752455.

It is an arithmetic number, because the mean of its divisors is an integer number (46257778080).

Almost surely, 2^{1242588382760} is an apocalyptic number.

1242588382760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242588382760 is an abundant number, since it is smaller than the sum of its proper divisors (1717909414360).

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

1242588382760 is a wasteful number, since it uses less digits than its factorization.

1242588382760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131946 (or 131942 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 1242588382760 in words is "one trillion, two hundred forty-two billion, five hundred eighty-eight million, three hundred eighty-two thousand, seven hundred sixty".