34213211120000 has 320 divisors, whose sum is σ = 93355387963200. Its totient is φ = 12382137600000.

The previous prime is 34213211119993. The next prime is 34213211120027. The reversal of 34213211120000 is 2111231243.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185587871 + ... + 185772129.

It is an arithmetic number, because the mean of its divisors is an integer number (291735587385).

Almost surely, 2^{34213211120000} 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 34213211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46677693981600).

34213211120000 is an abundant number, since it is smaller than the sum of its proper divisors (59142176843200).

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

34213211120000 is a wasteful number, since it uses less digits than its factorization.

34213211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184515 (or 184488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 34213211120000 its reverse (2111231243), we get a palindrome (34215322351243).

The spelling of 34213211120000 in words is "thirty-four trillion, two hundred thirteen billion, two hundred eleven million, one hundred twenty thousand".