334102042120200 has 192 divisors, whose sum is σ = 1038053773848000. Its totient is φ = 88892834365440.

The previous prime is 334102042120199. The next prime is 334102042120309. The reversal of 334102042120200 is 2021240201433.

It is a happy number.

It is a super-2 number, since 2×334102042120200² (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 47 ways as a sum of consecutive naturals, for example, 5171105496 + ... + 5171170104.

It is an arithmetic number, because the mean of its divisors is an integer number (5406530072125).

Almost surely, 2^{334102042120200} is an apocalyptic number.

334102042120200 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 334102042120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519026886924000).

334102042120200 is an abundant number, since it is smaller than the sum of its proper divisors (703951731727800).

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

334102042120200 is a wasteful number, since it uses less digits than its factorization.

334102042120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83944 (or 83935 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 334102042120200 its reverse (2021240201433), we get a palindrome (336123282321633).

The spelling of 334102042120200 in words is "three hundred thirty-four trillion, one hundred two billion, forty-two million, one hundred twenty thousand, two hundred".