1242000310320 has 960 divisors, whose sum is σ = 5277097672704. Its totient is φ = 254292756480.

The previous prime is 1242000310319. The next prime is 1242000310351. The reversal of 1242000310320 is 230130002421.

1242000310320 is a `hidden beast` number, since 12 + 4 + 20 + 0 + 0 + 310 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1242000310293 and 1242000310302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1501813747 + ... + 1501814573.

Almost surely, 2^{1242000310320} is an apocalyptic number.

1242000310320 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 1242000310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638548836352).

1242000310320 is an abundant number, since it is smaller than the sum of its proper divisors (4035097362384).

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

1242000310320 is a wasteful number, since it uses less digits than its factorization.

1242000310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1242000310320 its reverse (230130002421), we get a palindrome (1472130312741).

The spelling of 1242000310320 in words is "one trillion, two hundred forty-two billion, three hundred ten thousand, three hundred twenty".