12121122121002 has 64 divisors (see below), whose sum is σ = 27220968149760. Its totient is φ = 3997625674752.

The previous prime is 12121122120959. The next prime is 12121122121039. The reversal of 12121122121002 is 20012122112121.

12121122121002 is a `hidden beast` number, since 1 + 21 + 211 + 221 + 210 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18924163 + ... + 19554185.

It is an arithmetic number, because the mean of its divisors is an integer number (425327627340).

Almost surely, 2^{12121122121002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121122121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610484074880).

12121122121002 is an abundant number, since it is smaller than the sum of its proper divisors (15099846028758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12121122121002 is a wasteful number, since it uses less digits than its factorization.

12121122121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633804 (or 633798 counting only the distinct ones).

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

Adding to 12121122121002 its reverse (20012122112121), we get a palindrome (32133244233123).

The spelling of 12121122121002 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two".