242130000 has 200 divisors, whose sum is σ = 894063808. Its totient is φ = 55296000.

The previous prime is 242129981. The next prime is 242130013. The reversal of 242130000 is 31242.

242130000 is digitally balanced in base 2, 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 (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 209424 + ... + 210576.

Almost surely, 2^242130000 is an apocalyptic number.

242130000 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 242130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447031904).

242130000 is an abundant number, since it is smaller than the sum of its proper divisors (651933808).

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

242130000 is a wasteful number, since it uses less digits than its factorization.

242130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 242130000 is about 15560.5269833640. The cubic root of 242130000 is about 623.2795350127.

Adding to 242130000 its reverse (31242), we get a palindrome (242161242).

The spelling of 242130000 in words is "two hundred forty-two million, one hundred thirty thousand".