121211220121002 has 512 divisors, whose sum is σ = 313178849280000. Its totient is φ = 34411729996800.

The previous prime is 121211220120989. The next prime is 121211220121003. The reversal of 121211220121002 is 200121022112121.

121211220121002 is a `hidden beast` number, since 1 + 21 + 211 + 220 + 1 + 210 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121211220121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37678338498 + ... + 37678341714.

It is an arithmetic number, because the mean of its divisors is an integer number (611677440000).

Almost surely, 2^{121211220121002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121211220121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156589424640000).

121211220121002 is an abundant number, since it is smaller than the sum of its proper divisors (191967629158998).

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

121211220121002 is a wasteful number, since it uses less digits than its factorization.

121211220121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).

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

Adding to 121211220121002 its reverse (200121022112121), we get a palindrome (321332242233123).

The spelling of 121211220121002 in words is "one hundred twenty-one trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, two".