34321022120000 has 280 divisors, whose sum is σ = 106104920306880. Its totient is φ = 10697460480000.

The previous prime is 34321022119987. The next prime is 34321022120039. The reversal of 34321022120000 is 2122012343.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2491595 + ... + 8651594.

Almost surely, 2^{34321022120000} is an apocalyptic number.

It is an amenable number.

34321022120000 is an abundant number, since it is smaller than the sum of its proper divisors (71783898186880).

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

34321022120000 is a wasteful number, since it uses less digits than its factorization.

34321022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11143239 (or 11143214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34321022120000 its reverse (2122012343), we get a palindrome (34323144132343).

The spelling of 34321022120000 in words is "thirty-four trillion, three hundred twenty-one billion, twenty-two million, one hundred twenty thousand".