242301412120404 has 192 divisors, whose sum is σ = 699029001216000. Its totient is φ = 63610897093632.

The previous prime is 242301412120393. The next prime is 242301412120421. The reversal of 242301412120404 is 404021214103242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449789957 + ... + 1449957075.

It is an arithmetic number, because the mean of its divisors is an integer number (3640776048000).

Almost surely, 2^{242301412120404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242301412120404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349514500608000).

242301412120404 is an abundant number, since it is smaller than the sum of its proper divisors (456727589095596).

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

242301412120404 is a wasteful number, since it uses less digits than its factorization.

242301412120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173222 (or 173220 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 242301412120404 its reverse (404021214103242), we get a palindrome (646322626223646).

The spelling of 242301412120404 in words is "two hundred forty-two trillion, three hundred one billion, four hundred twelve million, one hundred twenty thousand, four hundred four".