34301200120 has 64 divisors (see below), whose sum is σ = 84363120000. Its totient is φ = 12448087680.

The previous prime is 34301200103. The next prime is 34301200123. The reversal of 34301200120 is 2100210343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34301200094 and 34301200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34301200123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141447 + ... + 297673.

It is an arithmetic number, because the mean of its divisors is an integer number (1318173750).

Almost surely, 2^34301200120 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 34301200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42181560000).

34301200120 is an abundant number, since it is smaller than the sum of its proper divisors (50061919880).

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

34301200120 is a wasteful number, since it uses less digits than its factorization.

34301200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156748 (or 156744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34301200120 its reverse (2100210343), we get a palindrome (36401410463).

The spelling of 34301200120 in words is "thirty-four billion, three hundred one million, two hundred thousand, one hundred twenty".