342004121200 has 240 divisors, whose sum is σ = 980808224256. Its totient is φ = 112053427200.

The previous prime is 342004121197. The next prime is 342004121203. The reversal of 342004121200 is 2121400243.

It is an interprime number because it is at equal distance from previous prime (342004121197) and next prime (342004121203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342004121203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95503410 + ... + 95506990.

Almost surely, 2^342004121200 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 342004121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490404112128).

342004121200 is an abundant number, since it is smaller than the sum of its proper divisors (638804103056).

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

342004121200 is a wasteful number, since it uses less digits than its factorization.

342004121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 342004121200 its reverse (2121400243), we get a palindrome (344125521443).

The spelling of 342004121200 in words is "three hundred forty-two billion, four million, one hundred twenty-one thousand, two hundred".