34030122000 has 320 divisors, whose sum is σ = 126694224384. Its totient is φ = 7697203200.

The previous prime is 34030121981. The next prime is 34030122013. The reversal of 34030122000 is 22103043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4069824 + ... + 4078176.

Almost surely, 2^34030122000 is an apocalyptic number.

34030122000 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 34030122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63347112192).

34030122000 is an abundant number, since it is smaller than the sum of its proper divisors (92664102384).

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

34030122000 is a wasteful number, since it uses less digits than its factorization.

34030122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 34030122000 its reverse (22103043), we get a palindrome (34052225043).

The spelling of 34030122000 in words is "thirty-four billion, thirty million, one hundred twenty-two thousand".