122306561 has 8 divisors (see below), whose sum is σ = 132525120. Its totient is φ = 112203792.

The previous prime is 122306537. The next prime is 122306579. The reversal of 122306561 is 165603221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122306561 - 2¹⁰ = 122305537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122306561.

It is not an unprimeable number, because it can be changed into a prime (122306761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26741 + ... + 30978.

It is an arithmetic number, because the mean of its divisors is an integer number (16565640).

It is a Proth number, since it is equal to 7465 ⋅ 2¹⁴ + 1 and 7465 < 2¹⁴.

Almost surely, 2^122306561 is an apocalyptic number.

It is an amenable number.

122306561 is a deficient number, since it is larger than the sum of its proper divisors (10218559).

122306561 is a wasteful number, since it uses less digits than its factorization.

122306561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57895.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 122306561 is about 11059.2296748010. The cubic root of 122306561 is about 496.3826405332.

Adding to 122306561 its reverse (165603221), we get a palindrome (287909782).

The spelling of 122306561 in words is "one hundred twenty-two million, three hundred six thousand, five hundred sixty-one".