122561054001 has 24 divisors (see below), whose sum is σ = 181317367296. Its totient is φ = 79745945760.

The previous prime is 122561053999. The next prime is 122561054023. The reversal of 122561054001 is 100450165221.

122561054001 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 610 + 5 + 40 + 0 + 1 = 666.

It is not a de Polignac number, because 122561054001 - 2¹ = 122561053999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122561054071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581515 + ... + 763728.

It is an arithmetic number, because the mean of its divisors is an integer number (7554890304).

Almost surely, 2^122561054001 is an apocalyptic number.

It is an amenable number.

122561054001 is a deficient number, since it is larger than the sum of its proper divisors (58756313295).

122561054001 is a wasteful number, since it uses less digits than its factorization.

122561054001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345493 (or 1345490 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 122561054001 in words is "one hundred twenty-two billion, five hundred sixty-one million, fifty-four thousand, one".