34125212043020 has 192 divisors, whose sum is σ = 83891032549632. Its totient is φ = 11418181632000.

The previous prime is 34125212043001. The next prime is 34125212043023. The reversal of 34125212043020 is 2034021252143.

It is not an unprimeable number, because it can be changed into a prime (34125212043023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575410990 + ... + 1575432650.

It is an arithmetic number, because the mean of its divisors is an integer number (436932461196).

Almost surely, 2^{34125212043020} 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 34125212043020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41945516274816).

34125212043020 is an abundant number, since it is smaller than the sum of its proper divisors (49765820506612).

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

34125212043020 is a wasteful number, since it uses less digits than its factorization.

34125212043020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22852 (or 22850 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 34125212043020 its reverse (2034021252143), we get a palindrome (36159233295163).

The spelling of 34125212043020 in words is "thirty-four trillion, one hundred twenty-five billion, two hundred twelve million, forty-three thousand, twenty".