34122024200 has 144 divisors (see below), whose sum is σ = 87350125380. Its totient is φ = 12386880000.

The previous prime is 34122024199. The next prime is 34122024217. The reversal of 34122024200 is 242022143.

It can be written as a sum of positive squares in 6 ways, for example, as 12891785764 + 21230238436 = 113542^2 + 145706^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 24707510 + ... + 24708890.

Almost surely, 2^34122024200 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 34122024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43675062690).

34122024200 is an abundant number, since it is smaller than the sum of its proper divisors (53228101180).

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

34122024200 is a wasteful number, since it uses less digits than its factorization.

34122024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34122024200 its reverse (242022143), we get a palindrome (34364046343).

The spelling of 34122024200 in words is "thirty-four billion, one hundred twenty-two million, twenty-four thousand, two hundred".