34200122000 has 160 divisors (see below), whose sum is σ = 90564739200. Its totient is φ = 12388032000.

The previous prime is 34200121987. The next prime is 34200122003. The reversal of 34200122000 is 22100243.

It is not an unprimeable number, because it can be changed into a prime (34200122003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5915111 + ... + 5920889.

It is an arithmetic number, because the mean of its divisors is an integer number (566029620).

Almost surely, 2^34200122000 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 34200122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45282369600).

34200122000 is an abundant number, since it is smaller than the sum of its proper divisors (56364617200).

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

34200122000 is a wasteful number, since it uses less digits than its factorization.

34200122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 34200122000 its reverse (22100243), we get a palindrome (34222222243).

The spelling of 34200122000 in words is "thirty-four billion, two hundred million, one hundred twenty-two thousand".