34234329722121 has 81 divisors (see below), whose sum is σ = 51771612079551. Its totient is φ = 21798339349248.

The previous prime is 34234329722113. The next prime is 34234329722207. The reversal of 34234329722121 is 12122792343243.

The square root of 34234329722121 is 5851011.

It is a perfect power (a square), and thus also a powerful number.

34234329722121 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 432 + 97 + 2 + 2 + 121 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 29094750542025 + 5139579180096 = 5393955^2 + 2267064^2 .

It is not a de Polignac number, because 34234329722121 - 2³ = 34234329722113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34234329322121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55485137005 + ... + 55485137621.

Almost surely, 2^{34234329722121} is an apocalyptic number.

34234329722121 is the 5851011-st square number.

34234329722121 is the 2925506-th centered octagonal number.

It is an amenable number.

34234329722121 is a deficient number, since it is larger than the sum of its proper divisors (17537282357430).

34234329722121 is an frugal number, since it uses more digits than its factorization.

34234329722121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 758 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 34234329722121 in words is "thirty-four trillion, two hundred thirty-four billion, three hundred twenty-nine million, seven hundred twenty-two thousand, one hundred twenty-one".