342121304000 has 224 divisors, whose sum is σ = 974737720320. Its totient is φ = 116519040000.

The previous prime is 342121303939. The next prime is 342121304029. The reversal of 342121304000 is 403121243.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8435771 + ... + 8476229.

It is an arithmetic number, because the mean of its divisors is an integer number (4351507680).

Almost surely, 2^342121304000 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 342121304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487368860160).

342121304000 is an abundant number, since it is smaller than the sum of its proper divisors (632616416320).

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

342121304000 is a wasteful number, since it uses less digits than its factorization.

342121304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644 (or 40624 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 342121304000 its reverse (403121243), we get a palindrome (342524425243).

The spelling of 342121304000 in words is "three hundred forty-two billion, one hundred twenty-one million, three hundred four thousand".