121021211322 has 256 divisors, whose sum is σ = 321926400000. Its totient is φ = 33287708160.

The previous prime is 121021211321. The next prime is 121021211327. The reversal of 121021211322 is 223112120121.

121021211322 is a `hidden beast` number, since 121 + 0 + 212 + 11 + 322 = 666.

It is a super-2 number, since 2×121021211322² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121021211295 and 121021211304.

It is not an unprimeable number, because it can be changed into a prime (121021211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44837929 + ... + 44840627.

It is an arithmetic number, because the mean of its divisors is an integer number (1257525000).

Almost surely, 2^121021211322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160963200000).

121021211322 is an abundant number, since it is smaller than the sum of its proper divisors (200905188678).

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

121021211322 is a wasteful number, since it uses less digits than its factorization.

121021211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121021211322 its reverse (223112120121), we get a palindrome (344133331443).

The spelling of 121021211322 in words is "one hundred twenty-one billion, twenty-one million, two hundred eleven thousand, three hundred twenty-two".