34012123221024 has 288 divisors, whose sum is σ = 106517099969280. Its totient is φ = 10229243314176.

The previous prime is 34012123221007. The next prime is 34012123221029. The reversal of 34012123221024 is 42012232121043.

34012123221024 is a `hidden beast` number, since 3 + 401 + 2 + 1 + 23 + 2 + 210 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (34012123221029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135193719 + ... + 135445065.

It is an arithmetic number, because the mean of its divisors is an integer number (369851041560).

Almost surely, 2^{34012123221024} 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 34012123221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53258549984640).

34012123221024 is an abundant number, since it is smaller than the sum of its proper divisors (72504976748256).

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

34012123221024 is a wasteful number, since it uses less digits than its factorization.

34012123221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252192 (or 252181 counting only the distinct ones).

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

Adding to 34012123221024 its reverse (42012232121043), we get a palindrome (76024355342067).

The spelling of 34012123221024 in words is "thirty-four trillion, twelve billion, one hundred twenty-three million, two hundred twenty-one thousand, twenty-four".