122551105329 has 45 divisors (see below), whose sum is σ = 185439387441. Its totient is φ = 80656819200.

The previous prime is 122551105223. The next prime is 122551105337. The reversal of 122551105329 is 923501155221.

The square root of 122551105329 is 350073.

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

122551105329 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 110 + 532 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43054175025 + 79496930304 = 207495^2 + 281952^2 .

It is not a de Polignac number, because 122551105329 - 2¹¹ = 122551103281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122551105293 and 122551105302.

It is not an unprimeable number, because it can be changed into a prime (122551105379) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 305613529 + ... + 305613929.

Almost surely, 2^122551105329 is an apocalyptic number.

122551105329 is the 350073-rd square number.

122551105329 is the 175037-th centered octagonal number.

It is an amenable number.

122551105329 is a deficient number, since it is larger than the sum of its proper divisors (62888282112).

122551105329 is an frugal number, since it uses more digits than its factorization.

122551105329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Multiplying 122551105329 by its sum of digits (36), we get a square (4411839791844 = 2100438²).

The spelling of 122551105329 in words is "one hundred twenty-two billion, five hundred fifty-one million, one hundred five thousand, three hundred twenty-nine".