122211120012201 has 48 divisors (see below), whose sum is σ = 198884746906560. Its totient is φ = 71662924229760.

The previous prime is 122211120012181. The next prime is 122211120012253. The reversal of 122211120012201 is 102210021112221.

122211120012201 is a `hidden beast` number, since 12 + 221 + 11 + 200 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 122211120012201 - 2⁷ = 122211120012073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122211120012701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92538930 + ... + 93850283.

It is an arithmetic number, because the mean of its divisors is an integer number (4143432227220).

Almost surely, 2^{122211120012201} is an apocalyptic number.

122211120012201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211120012201 is a deficient number, since it is larger than the sum of its proper divisors (76673626894359).

122211120012201 is a wasteful number, since it uses less digits than its factorization.

122211120012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186389446 (or 186389443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122211120012201 its reverse (102210021112221), we get a palindrome (224421141124422).

The spelling of 122211120012201 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twenty million, twelve thousand, two hundred one".