122563854001 has 4 divisors (see below), whose sum is σ = 122567996272. Its totient is φ = 122559711732.

The previous prime is 122563853969. The next prime is 122563854011. The reversal of 122563854001 is 100458365221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100458365221 = 11633 ⋅8635637.

It is a cyclic number.

It is not a de Polignac number, because 122563854001 - 2⁵ = 122563853969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122563854011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2026431 + ... + 2086036.

It is an arithmetic number, because the mean of its divisors is an integer number (30641999068).

Almost surely, 2^122563854001 is an apocalyptic number.

It is an amenable number.

122563854001 is a deficient number, since it is larger than the sum of its proper divisors (4142271).

122563854001 is an equidigital number, since it uses as much as digits as its factorization.

122563854001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142270.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 122563854001 in words is "one hundred twenty-two billion, five hundred sixty-three million, eight hundred fifty-four thousand, one".