12121122121001 has 8 divisors (see below), whose sum is σ = 12124632504264. Its totient is φ = 12117612067200.

The previous prime is 12121122120959. The next prime is 12121122121039. The reversal of 12121122121001 is 10012122112121.

It can be written as a sum of positive squares in 4 ways, for example, as 57142512025 + 12063979608976 = 239045^2 + 3473324^2 .

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 12121122121001 - 2¹⁴ = 12121122104617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12121122121301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86303831 + ... + 86444163.

It is an arithmetic number, because the mean of its divisors is an integer number (1515579063033).

Almost surely, 2^{12121122121001} is an apocalyptic number.

It is an amenable number.

12121122121001 is a deficient number, since it is larger than the sum of its proper divisors (3510383263).

12121122121001 is a wasteful number, since it uses less digits than its factorization.

12121122121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164731.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12121122121001 its reverse (10012122112121), we get a palindrome (22133244233122).

The spelling of 12121122121001 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, one".