122909141056 has 63 divisors (see below), whose sum is σ = 264180749133. Its totient is φ = 56710467840.

The previous prime is 122909141023. The next prime is 122909141063. The reversal of 122909141056 is 650141909221.

The square root of 122909141056 is 350584.

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., 18181825600 + 104727315456 = 134840^2 + 323616^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 36459051 + ... + 36462421.

Almost surely, 2^122909141056 is an apocalyptic number.

122909141056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122909141056 is the 350584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122909141056

122909141056 is an abundant number, since it is smaller than the sum of its proper divisors (141271608077).

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

122909141056 is an frugal number, since it uses more digits than its factorization.

122909141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 122909141056 in words is "one hundred twenty-two billion, nine hundred nine million, one hundred forty-one thousand, fifty-six".