122609114410000 has 75 divisors (see below), whose sum is σ = 296851607782081. Its totient is φ = 49043202848000.

The previous prime is 122609114409913. The next prime is 122609114410001. The reversal of 122609114410000 is 14411906221.

The square root of 122609114410000 is 11072900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 59340707637264 + 63268406772736 = 7703292^2 + 7954144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122609114410001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1107234636 + ... + 1107345364.

Almost surely, 2^{122609114410000} is an apocalyptic number.

122609114410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122609114410000 is the 11072900-th square number.

It is an amenable number.

122609114410000 is an abundant number, since it is smaller than the sum of its proper divisors (174242493372081).

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

122609114410000 is an frugal number, since it uses more digits than its factorization.

122609114410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221486 (or 110736 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 122609114410000 in words is "one hundred twenty-two trillion, six hundred nine billion, one hundred fourteen million, four hundred ten thousand".