122121201201201 has 24 divisors (see below), whose sum is σ = 176826132362880. Its totient is φ = 81216263880000.

The previous prime is 122121201201107. The next prime is 122121201201221. The reversal of 122121201201201 is 102102102121221.

122121201201201 is a `hidden beast` number, since 1 + 221 + 2 + 120 + 120 + 1 + 201 = 666.

It is not a de Polignac number, because 122121201201201 - 2³⁸ = 121846323294257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122121201201221) 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, 23523901 + ... + 28242101.

It is an arithmetic number, because the mean of its divisors is an integer number (7367755515120).

Almost surely, 2^{122121201201201} is an apocalyptic number.

It is an amenable number.

122121201201201 is a deficient number, since it is larger than the sum of its proper divisors (54704931161679).

122121201201201 is a wasteful number, since it uses less digits than its factorization.

122121201201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725197 (or 4725194 counting only the distinct ones).

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

Adding to 122121201201201 its reverse (102102102121221), we get a palindrome (224223303322422).

The spelling of 122121201201201 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred one million, two hundred one thousand, two hundred one".