242121440000 has 360 divisors, whose sum is σ = 673078146048. Its totient is φ = 86141440000.

The previous prime is 242121439981. The next prime is 242121440117. The reversal of 242121440000 is 44121242.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 82718537 + ... + 82721463.

Almost surely, 2^242121440000 is an apocalyptic number.

242121440000 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 242121440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336539073024).

242121440000 is an abundant number, since it is smaller than the sum of its proper divisors (430956706048).

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

242121440000 is an equidigital number, since it uses as much as digits as its factorization.

242121440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 242121440000 its reverse (44121242), we get a palindrome (242165561242).

The spelling of 242121440000 in words is "two hundred forty-two billion, one hundred twenty-one million, four hundred forty thousand".