34201121242134 has 256 divisors, whose sum is σ = 92252037888000. Its totient is φ = 8350691328000.

The previous prime is 34201121242133. The next prime is 34201121242157. The reversal of 34201121242134 is 43124212110243.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201121242133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318983734 + ... + 319090934.

It is an arithmetic number, because the mean of its divisors is an integer number (360359523000).

Almost surely, 2^{34201121242134} is an apocalyptic number.

34201121242134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34201121242134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126018944000).

34201121242134 is an abundant number, since it is smaller than the sum of its proper divisors (58050916645866).

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

34201121242134 is a wasteful number, since it uses less digits than its factorization.

34201121242134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108084 (or 108070 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 34201121242134 its reverse (43124212110243), we get a palindrome (77325333352377).

The spelling of 34201121242134 in words is "thirty-four trillion, two hundred one billion, one hundred twenty-one million, two hundred forty-two thousand, one hundred thirty-four".