17122121352 has 108 divisors (see below), whose sum is σ = 53967915495. Its totient is φ = 4889814048.

The previous prime is 17122121347. The next prime is 17122121363. The reversal of 17122121352 is 25312122171.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

17122121352 is a `hidden beast` number, since 1 + 71 + 221 + 21 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8561060676 + 8561060676 = 92526^2 + 92526^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=92526.

It is a super-2 number, since 2×17122121352² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7771083 + ... + 7773285.

Almost surely, 2^17122121352 is an apocalyptic number.

17122121352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17122121352

17122121352 is an abundant number, since it is smaller than the sum of its proper divisors (36845794143).

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

17122121352 is an equidigital number, since it uses as much as digits as its factorization.

17122121352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 2215 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The spelling of 17122121352 in words is "seventeen billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred fifty-two".