34233002124021 has 24 divisors (see below), whose sum is σ = 49487888431800. Its totient is φ = 22803443899776.

The previous prime is 34233002124019. The next prime is 34233002124037. The reversal of 34233002124021 is 12042120033243.

34233002124021 is a `hidden beast` number, since 3 + 4 + 233 + 0 + 0 + 21 + 2 + 402 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4052108610225 + 30180893513796 = 2012985^2 + 5493714^2 .

It is not a de Polignac number, because 34233002124021 - 2¹ = 34233002124019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34233002124011) 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, 84182035 + ... + 84587711.

It is an arithmetic number, because the mean of its divisors is an integer number (2061995351325).

Almost surely, 2^{34233002124021} is an apocalyptic number.

It is an amenable number.

34233002124021 is a deficient number, since it is larger than the sum of its proper divisors (15254886307779).

34233002124021 is a wasteful number, since it uses less digits than its factorization.

34233002124021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413285 (or 413282 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34233002124021 its reverse (12042120033243), we get a palindrome (46275122157264).

The spelling of 34233002124021 in words is "thirty-four trillion, two hundred thirty-three billion, two million, one hundred twenty-four thousand, twenty-one".