122506755748729 has 27 divisors (see below), whose sum is σ = 135990140899599. Its totient is φ = 110277228330720.

The previous prime is 122506755748717. The next prime is 122506755748747. The reversal of 122506755748729 is 927847557605221.

The square root of 122506755748729 is 11068277.

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., 41985566059129 + 80521189689600 = 6479627^2 + 8973360^2 .

It is not a de Polignac number, because 122506755748729 - 2¹⁵ = 122506755715961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122506755748129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12540352957 + ... + 12540362725.

Almost surely, 2^{122506755748729} is an apocalyptic number.

122506755748729 is the 11068277-th square number.

122506755748729 is the 5534139-th centered octagonal number.

It is an amenable number.

122506755748729 is a deficient number, since it is larger than the sum of its proper divisors (13483385150870).

122506755748729 is an frugal number, since it uses more digits than its factorization.

122506755748729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19766 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 70.

The spelling of 122506755748729 in words is "one hundred twenty-two trillion, five hundred six billion, seven hundred fifty-five million, seven hundred forty-eight thousand, seven hundred twenty-nine".