242012452401500 has 192 divisors, whose sum is σ = 590756557547520. Its totient is φ = 85845381440000.

The previous prime is 242012452401389. The next prime is 242012452401557. The reversal of 242012452401500 is 5104254210242.

242012452401500 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, 1596238697 + ... + 1596390303.

It is an arithmetic number, because the mean of its divisors is an integer number (3076857070560).

Almost surely, 2^{242012452401500} is an apocalyptic number.

242012452401500 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 242012452401500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295378278773760).

242012452401500 is an abundant number, since it is smaller than the sum of its proper divisors (348744105146020).

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

242012452401500 is a wasteful number, since it uses less digits than its factorization.

242012452401500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158757 (or 158745 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 242012452401500 in words is "two hundred forty-two trillion, twelve billion, four hundred fifty-two million, four hundred one thousand, five hundred".