34128498121 has 9 divisors (see below), whose sum is σ = 36257484999. Its totient is φ = 32117983584.

The previous prime is 34128498101. The next prime is 34128498169. The reversal of 34128498121 is 12189482143.

The square root of 34128498121 is 184739.

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

It can be written as a sum of positive squares in only one way, i.e., 26570630025 + 7557868096 = 163005^2 + 86936^2 .

It is not a de Polignac number, because 34128498121 - 2²¹ = 34126400969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34128498101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3135130 + ... + 3145996.

Almost surely, 2^34128498121 is an apocalyptic number.

34128498121 is the 184739-th square number.

34128498121 is the 92370-th centered octagonal number.

It is an amenable number.

34128498121 is a deficient number, since it is larger than the sum of its proper divisors (2128986878).

34128498121 is an frugal number, since it uses more digits than its factorization.

34128498121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21768 (or 10884 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The spelling of 34128498121 in words is "thirty-four billion, one hundred twenty-eight million, four hundred ninety-eight thousand, one hundred twenty-one".