34200120120 has 128 divisors (see below), whose sum is σ = 104502666240. Its totient is φ = 8952353280.

The previous prime is 34200120091. The next prime is 34200120121. The reversal of 34200120120 is 2102100243.

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

34200120120 is a modest number, since divided by 120120 gives 34200 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 34200120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200120121) 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, 1552785 + ... + 1574655.

It is an arithmetic number, because the mean of its divisors is an integer number (816427080).

Almost surely, 2^34200120120 is an apocalyptic number.

34200120120 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 34200120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52251333120).

34200120120 is an abundant number, since it is smaller than the sum of its proper divisors (70302546120).

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

34200120120 is a wasteful number, since it uses less digits than its factorization.

34200120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22125 (or 22121 counting only the distinct ones).

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

Adding to 34200120120 its reverse (2102100243), we get a palindrome (36302220363).

The spelling of 34200120120 in words is "thirty-four billion, two hundred million, one hundred twenty thousand, one hundred twenty".