242121132 has 144 divisors (see below), whose sum is σ = 697656960. Its totient is φ = 70156800.

The previous prime is 242121127. The next prime is 242121133. The reversal of 242121132 is 231121242.

It is a happy number.

242121132 is a `hidden beast` number, since 2 + 421 + 211 + 32 = 666.

242121132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242121132² = 117245285121922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242121133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004532 + ... + 1004772.

It is an arithmetic number, because the mean of its divisors is an integer number (4844840).

Almost surely, 2^242121132 is an apocalyptic number.

242121132 is a gapful number since it is divisible by the number (22) 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 242121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348828480).

242121132 is an abundant number, since it is smaller than the sum of its proper divisors (455535828).

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

242121132 is a wasteful number, since it uses less digits than its factorization.

242121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 242121132 is about 15560.2420289660. The cubic root of 242121132 is about 623.2719257251.

Adding to 242121132 its reverse (231121242), we get a palindrome (473242374).

The spelling of 242121132 in words is "two hundred forty-two million, one hundred twenty-one thousand, one hundred thirty-two".