34130011120 has 40 divisors (see below), whose sum is σ = 79374946464. Its totient is φ = 13648104192.

The previous prime is 34130011109. The next prime is 34130011129. The reversal of 34130011120 is 2111003143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34130011094 and 34130011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130011129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229422 + ... + 347698.

Almost surely, 2^34130011120 is an apocalyptic number.

It is an amenable number.

34130011120 is an abundant number, since it is smaller than the sum of its proper divisors (45244935344).

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

34130011120 is a wasteful number, since it uses less digits than its factorization.

34130011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121897 (or 121891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 34130011120 its reverse (2111003143), we get a palindrome (36241014263).

The spelling of 34130011120 in words is "thirty-four billion, one hundred thirty million, eleven thousand, one hundred twenty".