122880000001 has 8 divisors (see below), whose sum is σ = 134524590624. Its totient is φ = 111314356320.

The previous prime is 122879999989. The next prime is 122880000043. The reversal of 122880000001 is 100000088221.

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 122880000001 - 2³¹ = 120732516353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122880000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19733476 + ... + 19739701.

It is an arithmetic number, because the mean of its divisors is an integer number (16815573828).

It is a Proth number, since it is equal to 234375 ⋅ 2¹⁹ + 1 and 234375 < 2¹⁹.

Almost surely, 2^122880000001 is an apocalyptic number.

122880000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122880000001 is a deficient number, since it is larger than the sum of its proper divisors (11644590623).

122880000001 is a wasteful number, since it uses less digits than its factorization.

122880000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39473471.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122880000001 its reverse (100000088221), we get a palindrome (222880088222).

The spelling of 122880000001 in words is "one hundred twenty-two billion, eight hundred eighty million, one", and thus it is an aban number.