242115112040000 has 280 divisors, whose sum is σ = 608291335713600. Its totient is φ = 95574816000000.

The previous prime is 242115112039937. The next prime is 242115112040017. The reversal of 242115112040000 is 40211511242.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1094249381 + ... + 1094470619.

It is an arithmetic number, because the mean of its divisors is an integer number (2172469056120).

Almost surely, 2^{242115112040000} is an apocalyptic number.

242115112040000 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 242115112040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304145667856800).

242115112040000 is an abundant number, since it is smaller than the sum of its proper divisors (366176223673600).

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

242115112040000 is a wasteful number, since it uses less digits than its factorization.

242115112040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221631 (or 221606 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 242115112040000 its reverse (40211511242), we get a palindrome (242155323551242).

The spelling of 242115112040000 in words is "two hundred forty-two trillion, one hundred fifteen billion, one hundred twelve million, forty thousand".