12121122221001 has 6 divisors (see below), whose sum is σ = 17508287652570. Its totient is φ = 8080748147328.

The previous prime is 12121122220993. The next prime is 12121122221017. The reversal of 12121122221001 is 10012222112121.

12121122221001 is a `hidden beast` number, since 1 + 21 + 211 + 222 + 210 + 0 + 1 = 666.

12121122221001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6775426791225 + 5345695429776 = 2602965^2 + 2312076^2 .

It is not a de Polignac number, because 12121122221001 - 2³ = 12121122220993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121122221051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 673395678936 + ... + 673395678953.

It is an arithmetic number, because the mean of its divisors is an integer number (2918047942095).

Almost surely, 2^{12121122221001} is an apocalyptic number.

It is an amenable number.

12121122221001 is a deficient number, since it is larger than the sum of its proper divisors (5387165431569).

12121122221001 is a wasteful number, since it uses less digits than its factorization.

12121122221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346791357895 (or 1346791357892 counting only the distinct ones).

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

Adding to 12121122221001 its reverse (10012222112121), we get a palindrome (22133344333122).

The spelling of 12121122221001 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one".