34042121120 has 192 divisors, whose sum is σ = 94024820736. Its totient is φ = 11406320640.

The previous prime is 34042121119. The next prime is 34042121131. The reversal of 34042121120 is 2112124043.

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

It is a junction number, because it is equal to n+sod(n) for n = 34042121092 and 34042121101.

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 31 ways as a sum of consecutive naturals, for example, 9828509 + ... + 9831971.

It is an arithmetic number, because the mean of its divisors is an integer number (489712608).

Almost surely, 2^34042121120 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 34042121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47012410368).

34042121120 is an abundant number, since it is smaller than the sum of its proper divisors (59982699616).

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

34042121120 is a wasteful number, since it uses less digits than its factorization.

34042121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34042121120 its reverse (2112124043), we get a palindrome (36154245163).

The spelling of 34042121120 in words is "thirty-four billion, forty-two million, one hundred twenty-one thousand, one hundred twenty".