122805390096 has 405 divisors, whose sum is σ = 382886033439. Its totient is φ = 36736906752.

The previous prime is 122805390083. The next prime is 122805390131. The reversal of 122805390096 is 690093508221.

The square root of 122805390096 is 350436.

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

122805390096 is a `hidden beast` number, since 1 + 2 + 28 + 0 + 539 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7705328400 + 115100061696 = 87780^2 + 339264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2317082806 + ... + 2317082858.

Almost surely, 2^122805390096 is an apocalyptic number.

122805390096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122805390096 is the 350436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122805390096

122805390096 is an abundant number, since it is smaller than the sum of its proper divisors (260080643343).

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

122805390096 is a wasteful number, since it uses less digits than its factorization.

122805390096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 122805390096 in words is "one hundred twenty-two billion, eight hundred five million, three hundred ninety thousand, ninety-six".