122211221220011 has 256 divisors, whose sum is σ = 169978240696320. Its totient is φ = 84988569600000.

The previous prime is 122211221219957. The next prime is 122211221220073. The reversal of 122211221220011 is 110022122112221.

It is not a de Polignac number, because 122211221220011 - 2³⁴ = 122194041350827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122211221220211) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 123321110726 + ... + 123321111716.

It is an arithmetic number, because the mean of its divisors is an integer number (663977502720).

Almost surely, 2^{122211221220011} is an apocalyptic number.

122211221220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122211221220011 is a deficient number, since it is larger than the sum of its proper divisors (47767019476309).

122211221220011 is a wasteful number, since it uses less digits than its factorization.

122211221220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122211221220011 its reverse (110022122112221), we get a palindrome (232233343332232).

The spelling of 122211221220011 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, eleven".