34120221000 has 128 divisors (see below), whose sum is σ = 107738467200. Its totient is φ = 8989036800.

The previous prime is 34120220999. The next prime is 34120221001. The reversal of 34120221000 is 12202143.

It is an interprime number because it is at equal distance from previous prime (34120220999) and next prime (34120221001).

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

It is not an unprimeable number, because it can be changed into a prime (34120221001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 180486 + ... + 317514.

It is an arithmetic number, because the mean of its divisors is an integer number (841706775).

Almost surely, 2^34120221000 is an apocalyptic number.

34120221000 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 34120221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53869233600).

34120221000 is an abundant number, since it is smaller than the sum of its proper divisors (73618246200).

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

34120221000 is a wasteful number, since it uses less digits than its factorization.

34120221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137136 (or 137122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 34120221000 its reverse (12202143), we get a palindrome (34132423143).

The spelling of 34120221000 in words is "thirty-four billion, one hundred twenty million, two hundred twenty-one thousand".