122661125301 has 32 divisors (see below), whose sum is σ = 192496026240. Its totient is φ = 68494636800.

The previous prime is 122661125263. The next prime is 122661125309. The reversal of 122661125301 is 103521166221.

It is not a de Polignac number, because 122661125301 - 2²⁶ = 122594016437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122661125309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32166 + ... + 496343.

It is an arithmetic number, because the mean of its divisors is an integer number (6015500820).

Almost surely, 2^122661125301 is an apocalyptic number.

122661125301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122661125301 is a deficient number, since it is larger than the sum of its proper divisors (69834900939).

122661125301 is a wasteful number, since it uses less digits than its factorization.

122661125301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529077.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 122661125301 in words is "one hundred twenty-two billion, six hundred sixty-one million, one hundred twenty-five thousand, three hundred one".