242075131200 has 2016 divisors, whose sum is σ = 1125919008000. Its totient is φ = 50396774400.

The previous prime is 242075131187. The next prime is 242075131211. The reversal of 242075131200 is 2131570242.

242075131200 is a `hidden beast` number, since 2 + 4 + 20 + 7 + 513 + 120 + 0 = 666.

242075131200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7808875185 + ... + 7808875215.

Almost surely, 2^242075131200 is an apocalyptic number.

242075131200 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 242075131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562959504000).

242075131200 is an abundant number, since it is smaller than the sum of its proper divisors (883843876800).

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

242075131200 is a wasteful number, since it uses less digits than its factorization.

242075131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 242075131200 in words is "two hundred forty-two billion, seventy-five million, one hundred thirty-one thousand, two hundred".