242411134022000 has 320 divisors, whose sum is σ = 623040403814400. Its totient is φ = 90962795750400.

The previous prime is 242411134021957. The next prime is 242411134022017. The reversal of 242411134022000 is 220431114242.

242411134022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7136649017 + ... + 7136682983.

It is an arithmetic number, because the mean of its divisors is an integer number (1947001261920).

Almost surely, 2^{242411134022000} is an apocalyptic number.

242411134022000 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 242411134022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311520201907200).

242411134022000 is an abundant number, since it is smaller than the sum of its proper divisors (380629269792400).

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

242411134022000 is a wasteful number, since it uses less digits than its factorization.

242411134022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35841 (or 35825 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 242411134022000 its reverse (220431114242), we get a palindrome (242631565136242).

The spelling of 242411134022000 in words is "two hundred forty-two trillion, four hundred eleven billion, one hundred thirty-four million, twenty-two thousand".