242122024000 has 112 divisors (see below), whose sum is σ = 634887030960. Its totient is φ = 91151769600.

The previous prime is 242122023991. The next prime is 242122024031. The reversal of 242122024000 is 420221242.

It can be written as a sum of positive squares in 8 ways, for example, as 17855373376 + 224266650624 = 133624^2 + 473568^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 754155 + ... + 1026154.

It is an arithmetic number, because the mean of its divisors is an integer number (5668634205).

Almost surely, 2^242122024000 is an apocalyptic number.

242122024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242122024000 is an abundant number, since it is smaller than the sum of its proper divisors (392765006960).

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

242122024000 is a wasteful number, since it uses less digits than its factorization.

242122024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780353 (or 1780333 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 242122024000 its reverse (420221242), we get a palindrome (242542245242).

The spelling of 242122024000 in words is "two hundred forty-two billion, one hundred twenty-two million, twenty-four thousand".