34122101032044 has 72 divisors (see below), whose sum is σ = 88585440456240. Its totient is φ = 11066479051392.

The previous prime is 34122101032043. The next prime is 34122101032049. The reversal of 34122101032044 is 44023010122143.

34122101032044 is a `hidden beast` number, since 3 + 412 + 210 + 1 + 0 + 32 + 0 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34122101031999 and 34122101032017.

It is not an unprimeable number, because it can be changed into a prime (34122101032043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145895662 + ... + 146129354.

It is an arithmetic number, because the mean of its divisors is an integer number (1230353339670).

Almost surely, 2^{34122101032044} is an apocalyptic number.

It is an amenable number.

34122101032044 is an abundant number, since it is smaller than the sum of its proper divisors (54463339424196).

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

34122101032044 is a wasteful number, since it uses less digits than its factorization.

34122101032044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343359 (or 343354 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34122101032044 its reverse (44023010122143), we get a palindrome (78145111154187).

Subtracting 34122101032044 from its reverse (44023010122143), we obtain a palindrome (9900909090099).

The spelling of 34122101032044 in words is "thirty-four trillion, one hundred twenty-two billion, one hundred one million, thirty-two thousand, forty-four".