342121340000 has 480 divisors, whose sum is σ = 943115231520. Its totient is φ = 121088000000.

The previous prime is 342121339981. The next prime is 342121340003. The reversal of 342121340000 is 43121243.

It is a super-2 number, since 2×342121340000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342121340003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1977579914 + ... + 1977580086.

It is an arithmetic number, because the mean of its divisors is an integer number (1964823399).

Almost surely, 2^342121340000 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 342121340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471557615760).

342121340000 is an abundant number, since it is smaller than the sum of its proper divisors (600993891520).

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

342121340000 is a wasteful number, since it uses less digits than its factorization.

342121340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

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

Adding to 342121340000 its reverse (43121243), we get a palindrome (342164461243).

The spelling of 342121340000 in words is "three hundred forty-two billion, one hundred twenty-one million, three hundred forty thousand".