242125140000 has 240 divisors, whose sum is σ = 828754863552. Its totient is φ = 61759104000.

The previous prime is 242125139983. The next prime is 242125140007. The reversal of 242125140000 is 41521242.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (242125140007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1292274 + ... + 1467726.

Almost surely, 2^242125140000 is an apocalyptic number.

242125140000 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 242125140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414377431776).

242125140000 is an abundant number, since it is smaller than the sum of its proper divisors (586629723552).

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

242125140000 is a wasteful number, since it uses less digits than its factorization.

242125140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175509 (or 175486 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 242125140000 its reverse (41521242), we get a palindrome (242166661242).

The spelling of 242125140000 in words is "two hundred forty-two billion, one hundred twenty-five million, one hundred forty thousand".