334202412000 has 192 divisors, whose sum is σ = 1099399549248. Its totient is φ = 88750080000.

The previous prime is 334202411993. The next prime is 334202412013. The reversal of 334202412000 is 214202433.

It is a super-2 number, since 2×334202412000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2834220 + ... + 2949780.

It is an arithmetic number, because the mean of its divisors is an integer number (5726039319).

Almost surely, 2^334202412000 is an apocalyptic number.

334202412000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334202412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549699774624).

334202412000 is an abundant number, since it is smaller than the sum of its proper divisors (765197137248).

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

334202412000 is a wasteful number, since it uses less digits than its factorization.

334202412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115830 (or 115812 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 334202412000 its reverse (214202433), we get a palindrome (334416614433).

The spelling of 334202412000 in words is "three hundred thirty-four billion, two hundred two million, four hundred twelve thousand".