334203400122000 has 1280 divisors, whose sum is σ = 1215673871892480. Its totient is φ = 78574307328000.

The previous prime is 334203400121993. The next prime is 334203400122017. The reversal of 334203400122000 is 221004302433.

It is a super-2 number, since 2×334203400122000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41173261942 + ... + 41173270058.

It is an arithmetic number, because the mean of its divisors is an integer number (949745212416).

Almost surely, 2^{334203400122000} is an apocalyptic number.

334203400122000 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 334203400122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607836935946240).

334203400122000 is an abundant number, since it is smaller than the sum of its proper divisors (881470471770480).

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

334203400122000 is a wasteful number, since it uses less digits than its factorization.

334203400122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 334203400122000 its reverse (221004302433), we get a palindrome (334424404424433).

The spelling of 334203400122000 in words is "three hundred thirty-four trillion, two hundred three billion, four hundred million, one hundred twenty-two thousand".