242154232000 has 112 divisors (see below), whose sum is σ = 601654461408. Its totient is φ = 96545203200.

The previous prime is 242154231973. The next prime is 242154232007. The reversal of 242154232000 is 232451242.

242154232000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (242154232007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406702 + ... + 2505298.

It is an arithmetic number, because the mean of its divisors is an integer number (5371914834).

Almost surely, 2^242154232000 is an apocalyptic number.

242154232000 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 242154232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300827230704).

242154232000 is an abundant number, since it is smaller than the sum of its proper divisors (359500229408).

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

242154232000 is an equidigital number, since it uses as much as digits as its factorization.

242154232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98931 (or 98911 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 242154232000 its reverse (232451242), we get a palindrome (242386683242).

It can be divided in two parts, 2421542 and 32000, that added together give a palindrome (2453542).

The spelling of 242154232000 in words is "two hundred forty-two billion, one hundred fifty-four million, two hundred thirty-two thousand".