122701457630761 has 3 divisors (see below), whose sum is σ = 122701468707831. Its totient is φ = 122701446553692.

The previous prime is 122701457630729. The next prime is 122701457630779. The reversal of 122701457630761 is 167036754107221.

It is a happy number.

The square root of 122701457630761 is 11077069.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 10117049694361 + 112584407936400 = 3180731^2 + 10610580^2 .

It is not a de Polignac number, because 122701457630761 - 2⁵ = 122701457630729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122701457630699 and 122701457630708.

It is not an unprimeable number, because it can be changed into a prime (122701457630561) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5538535 + ... + 16615603.

It is an arithmetic number, because the mean of its divisors is an integer number (40900489569277).

Almost surely, 2^{122701457630761} is an apocalyptic number.

122701457630761 is the 11077069-th square number.

122701457630761 is the 5538535-th centered octagonal number.

It is an amenable number.

122701457630761 is a deficient number, since it is larger than the sum of its proper divisors (11077070).

122701457630761 is an frugal number, since it uses more digits than its factorization.

122701457630761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22154138 (or 11077069 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 122701457630761 in words is "one hundred twenty-two trillion, seven hundred one billion, four hundred fifty-seven million, six hundred thirty thousand, seven hundred sixty-one".