34522133511120 has 80 divisors (see below), whose sum is σ = 109295605704960. Its totient is φ = 9010032005632.

The previous prime is 34522133511119. The next prime is 34522133511223. The reversal of 34522133511120 is 2111533122543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1530225135 + ... + 1530247694.

It is an arithmetic number, because the mean of its divisors is an integer number (1366195071312).

Almost surely, 2^{34522133511120} is an apocalyptic number.

34522133511120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34522133511120 is an abundant number, since it is smaller than the sum of its proper divisors (74773472193840).

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

34522133511120 is a wasteful number, since it uses less digits than its factorization.

34522133511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060472892 (or 3060472886 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 34522133511120 its reverse (2111533122543), we get a palindrome (36633666633663).

The spelling of 34522133511120 in words is "thirty-four trillion, five hundred twenty-two billion, one hundred thirty-three million, five hundred eleven thousand, one hundred twenty".